If not all receive the free gift how will they experience great joy because of it?
They won't.
I think both desires (free will + all be saved) are compatible.
I don't see how.
If someone rejects God and continues to reject God, how will they be saved? In Scripture, people are urged to "accept the message now, before it is too late", Luke 12:20-21; Luke 13:3; Acts of the Apostles 2:40; Hebrews 9:27. What would be the point of preaching repentance before death if everyone had a second chance after it?
5. Is translated in other translations as "He does whatsoever He pleases". If hell is real, it must please Him to send people there.
No; he simply honours the choice that people have made during their lives.
If someone hears the Gospel decides to reject it and throughout the rest of their lives they continue to reject it, saying that they don't want to know God; when they die, they have made the choice to live for eternity without him. How would it be loving, at that point, to say "no; you hated and rejected me, but now you have to live for eternity with me"? That would be hell for them, and not possible unless they repented and received eternal life at that point.
But all the Scriptures indicate that we are to believe and have faith in God before we die.
If not all will believe, He won't be Saviour of all. simple as that.
He is Saviour for all; his death is for everyone. But not everyone will realise it.
Some will choose to say "he's not my Saviour; I can do it my way". It doesn't alter the fact that Jesus died for them and is the only way to God.
Good point. But we don't know that he was really drawn to Jesus, but that he wanted eternal life.
The point is that he approached Jesus, wanted something that Jesus could give him and chose to walk away because the price was too high.
If not all will respond (truth be told I believe 90+% will not before their physical death) the free gift doesn't come unto all men.
It is FOR all; some choose not to accept it.
Incidentally, when I talk about "rejecting God" I believe that only he knows who has truly, deliberately, rejected him. Some may appear to reject him but are, in fact, rejecting the church - or they may reject the idea that they have, or someone has given them, about God. It's not for us to judge.
Not how I interpret it. I see that all (living) things will be gathered together in Christ.
To me, it is a prophecy.
It may be, but equally it may not.
Other Scriptures show that the latter is probably true.
True, they must accept Christ. Most will perish. What this means though is where we differ.
Because I don't think this perishing negates the reconciliation part. It must be a way of perishing/being destroyed with perspective to becoming reconciled, is my conclusion.
So we are agreed that unbelievers will perish - but you think it is only a temporary perishing? That they will somehow be rescued/come to faith before they are completely destroyed?
To be testified in due time

whenever that may be. could be milennia from now
Yes, it could be; how does that change anything?
Remember that God's purpose can't be thwarted? If the purpose of Jesus is to save the world, and God's plan can not be thwarted (also not by free will), then it must follow that the world will be saved.
Jesus came to die and make it possible for mankind to be reconciled to God.
He has done that.
The wages of sin IS death - but the gift of God is eternal life through Jesus.
God does want all to believe in him, John 6:29, John 6:40. What father wouldn't want his children to know, and feel secure in, his love? But he doesn't force anyone.
Like I said, he told Adam what he could do - eat from any tree in the garden except one - but left it to Adam to obey, or not. He didn't make Adam a puppet, give him an electric shock if he touched the fruit or forcibly yank him away if he went anywhere near the tree. Adam knew God for himself. It wasn't that he heard about him second or third hand and decided that he didn't sound very nice; he had been created by God and given the task of naming all the animals. He had also heard God speak, and knew perfectly well what he wanted. But he chose to disobey, and God let him. God had chosen to let Adam choose - and he didn't give up on Adam, nor on mankind, when the wrong choice was made.
I have hope that all will be saved. God says hope does not disappoint.
It depends what the hope is and what it is in.
Many hope to win the lottery, hope that evil dictators will be punished, that crime will disappear, that riots, muggings, stabbings etc will cease, and thousands hope that their own good deeds will get them to heaven. It won't happen for everyone, and may not happen at all.
How can that be, when everyone who believes and confesses shall be saved?
The sad fact is that not everyone will believe and confess.
They may do after death, when they can see him - but anyone can have faith in God when they can see God right in front of them. Scripture says that we live by faith and not by sight, 2 Corinthians 5:7, and Jesus said to Thomas, "you believe because you have seen me; blessed are those who have not seen and yet still believe", John 20:29.
Personally, I was very frustrated when evangelizing when I still believed in hell. Now I am indeed more relaxed about it.
I don't see how anyone can evangelise without a belief in hell - otherwise the Good News becomes, "you may live exactly how you wish; you will be reconciled to God one day anyway."