Your quoting verses about whom the Lord loves, that is His people. Whom the Lord loves he chastens, and He disciplines everyone whom He receives.
God loves the whole world (Jn.3:16). He's not an eternal sadist.
Mt.18:23 Therefore is the kingdom of heaven likened unto a certain king, which would take account of his servants. 24 And when he had begun to reckon...
34 And his lord was wroth, and delivered him to the tormentors, till he should pay all that was due unto him. 35 So likewise shall my heavenly Father do also unto you, if ye from your hearts forgive not every one his brother their trespasses.
Furthermore, the context of Matthew 5:25-26, both before & after those 2 verses, is making references to Gehenna. Verses 21-26 have to do with anger & being reconciled & v.22 warns of Gehenna. In verses 27-30 the subject is adultery & v.30 warns regarding Gehenna.
Matt 5:25-26 Come to terms quickly with your adversary before it is too late and you are dragged into court, handed over to an officer, and thrown in jail. I assure you that you won't be free again until you have paid the last penny.
"They must pay (as GMac says) the uttermost farthing -- which is to say, they must tender the forgiveness of their brethren that is owed, the repentance and sorrow for sin that is owed, etc. Otherwise they do stay in prison with the tormenters. (their guilt? their hate? their own filthiness?) At last resort, if they still refuse to let go that nasty pet they've been stroking, they must even suffer the outer darkness. God will remove Himself from them to the extent that He can do so without causing their existence to cease. As Tom Talbot points out so well, no sane person of free will (and the child must be sane and informed to have freedom) could possibly choose ultimate horror over ultimate delight throughout the unending ages."
https://forum.evangelicaluniversalist.com/t/why-affirm-belief-in-hell/4967/12
The Lord will not cast off forever, is being spoken of in regards to the Lord's people, not the unbelieving world.
Do you see the words "SONS OF MEN" or "Lord's people":
Lamentations 3:22 and 3:31-33, The steadfast love of the Lord NEVER ceases, his mercies NEVER come to an end. . . .
Lam.3:31 For the Lord will NOT cast off FOR EVER:
32 For if He causes grief, Then He will have compassion According to His abundant lovingkindness. 33 For He does not afflict willingly Or grieve the SONS OF MEN.…
The second death is death, not life. DEAD, they are dead, dead, dead. And they will never have life anyone who goes there to the second death.
Death will be abolished (1 Cor.15:26). Then God will be "all in all" (v.28), and all who were in Adam will be "in Christ" (v.22).
"Just as surely as the abolition of slavery entails freedom for those formerly enslaved, the abolition of death entails life for those formerly dead."
Of course, like all sinners, which all men are before salvation, they must be saved before they can enter the New Jerusalem. That's why it's gates will never be shut.
On no day will its gates ever be shut, for there will be no night there. (Rev.21:25)
The kings of the earth will bring their splendor into it:
24 The nations will walk by its light, and the kings of the earth will bring their splendor into it. 25 On no day will its gates ever be shut, for there will be no night there. 26 The glory and honor of the nations will be brought into it.
How can they do that unless they were outside the city gates before?
"In the Book of Revelation, the phrase "kings of the earth" appears 7 times in Rev 6:15; 17:2,18; 18:3,9; 19:19; 21:24. In all but the last citation the kings of the earth are portrayed in Revelation as aligned with Mystery Babylon and are the enemies of God. Yet, in 21:24 we find that the "kings of the earth" will one day bring their splendor into the New Jerusalem. One must therefore ask how or why are the kings of the earth who are consistently and without exception portrayed in Revelation as evil and unrepentant, allowed into the New Jerusalem where "nothing unclean will ever enter it, nor anyone who does what is detestable or false, but only those who are written in the Lamb's book of life" (21:27). I cannot find any scriptural evidence that these kings of the earth are any different than the previous references. Therefore the only conclusion I can arrive at is it that appears that even the kings of the earth after having spent some unknown time in the lake of fire will one day repent and be allowed to enter into the New Jerusalem."
That recalls some other passages about kings:
Psalm 72:11
Yea, all kings shall fall down before him: all nations shall serve him.
Psalm 102:15
So the nations will fear the name of the LORD And all the kings of the earth Your glory.
Psalm 138:4
All the kings of the earth will give thanks to You, O LORD, When they have heard the words of Your mouth.
Isaiah 60
2"For behold, darkness will cover the earth And deep darkness the peoples; But the LORD will rise upon you And His glory will appear upon you. 3"Nations will come to your light, And kings to the brightness of your rising.
Isaiah 62:2
The nations will see your righteousness, And all kings your glory; And you will be called by a new name Which the mouth of the LORD will designate.
Revelation 21:24
By its light the nations will walk, and into it the kings of the earth will bring their glory.
This includes everyone in the universe, including the dead and demons:
Rev.5:13 And every creature which is in heaven, and on the earth, and under the earth, and such as are on the sea, and all that are in them, heard I saying, Blessing, and honour, and glory, and power, be unto him that sitteth upon the throne, and unto the Lamb for ever and ever.
John speaks of "every creature" & to emphasize this again he repeats "and all that are in them":
Rev.5:13 And every creature which is in heaven, and on the earth, and under the earth, and such as are on the sea, and all that are in them, heard I saying, Blessing, and honour, and glory, and power, be unto him that sitteth upon the throne, and unto the Lamb for ever and ever.
This worship (v.13) uses the same worshipful words as the redeemed of vs 9-10 use in v.12:
12 Saying with a loud voice, Worthy is the Lamb that was slain to receive power, and riches, and wisdom, and strength, and honour, and glory, and blessing.
All this being in the context of salvation - "the Lamb that was slain" (v.12 & 13).
Revelation 5:13 speaks of a time beyond the punishment in the lake of fire.
Rev.15:4 Who shall not fear thee, O Lord, and glorify thy name? for thou only art holy: for all nations shall come and worship before thee; for thy judgments are made manifest.
This sounds like just payback, not endless annihilation or tortures:
Rev.18:6 Reward her even as she rewarded you, and double unto her double according to her works: in the cup which she hath filled fill to her double.
Rev.21:5 He who was seated on the throne said, “I am making all new!”
Their names are not found written in the book of life, no they are not the redeemed of the Lord.
Of course those in the LOF are not - yet - in the book of life. But they shall be:
Rom 5:18 Consequently, then, as it was through one offense for ALL MANKIND for condemnation, thus also it is through one just act for ALL MANKIND for life's justifying."
Rom 5:19 For even as, through the disobedience of the one man, THE MANY were constituted sinners, thus also, through the obedience of the One, THE MANY shall be constituted just."
Paul makes a parallel between "the many" who were condemned & sinners and those who will be justified & constituted just.
“In Romans 5, the justification is co-extensive with the condemnation. Since all share in one, all share in the other. If only a certain portion of the human race had partaken of the sin of Adam, only a certain portion would partake of the justification of Christ. But St. Paul affirms all to have been involved in one, and all to be included in the other.”
Therefore there is salvation after death. And corrective punishment.
https://www.tentmaker.org/books/hope_beyond_hell.pdf
Jesus shall see of the travail of His soul & be satisfied. Not satisfied a little bit, but the vast majority fried alive forever.
"He shall see of the travail of his soul, and shall be satisfied: by his knowledge shall my righteous servant justify many; for he shall bear their iniquities." (Isa.53:11).
For how "many" (not few) did He "bear their iniquities"? All.
https://www.tentmaker.org/books/hope_beyond_hell.pdf
If anyone is not redeemed, who are doomed to destruction, then they are destroyed.
Leviticus 27:29 No person under the ban, who may become doomed to destruction among men, shall be redeemed, but shall surely be put to death.
Did you read the context & see the reference to animals. The verse & context say nothing about wicked people, the afterlife or final destiny:
Lev.27:28 Notwithstanding no devoted thing, that a man shall devote unto the LORD of all that he hath,
both of man and beast, and of the field of his possession, shall be sold or redeemed: every devoted thing
is most holy unto the LORD.
Would the Lord want wicked people to be "devoted unto the LORD"? Would He call such wicked people "most holy to the LORD"?
"...every person devoted to the service of God shall not be redeemed, but die in that devoted state,..."
"This announcement imported not that the person was to be sacrificed or doomed to a violent death; but only that he should remain till death unalterably in the devoted condition."
http://biblehub.com/leviticus/27-29.htm
Lev.27:29:
Webster's Bible Translation
None devoted, which shall be devoted by men, shall be redeemed: but shall surely be put to death.
Douay-Rheims Bible
And any consecration that is offered by man, shall not be redeemed, but dying shall die.
Darby Bible Translation
Nothing devoted, which shall be devoted from among men, shall be ransomed: it shall certainly be put to death.
Brenton LXX
29 And whatever shall be dedicated of men, shall not be ransomed, but shall be surely put to death.
Apostolic Bible Polygot
29 And all, whatever should be presented from men, it shall not be ransomed, but to death it shall be put to death
https://studybible.info/ABP_Strongs/Leviticus 27
http://www.tentmaker.org/articles/unique_proof_for_universalism.html