"Was Satan Cast out during the 1st century?"
YES.
Satan was bound/judged/cast out by Christ's ministry, reversing satan's dominion over the People of God, granting power over all darkness to the saints, and immediately enabling the gospel to spread to all nations.
(John 12:31 and Matt 12:28-29, Heb 2:14-15 and 1 John 3:8).
Satan was cast out, judged, spoiled and bound by Jesus Christ:
John 12:31
Now is the judgment of this world: now shall the prince of this world be cast out.
1 John 3:8
For this purpose the Son of God was manifested, that he might destroy the works of the devil.
Hebrews 2:14
Forasmuch then as the children are partakers of flesh and blood, he also himself likewise took part of the same;
that through death he might destroy him that had the power of death, that is, the devil.
Colossians 2:15
And having spoiled principalities and powers, he made a show of them openly, triumphing over them in it.
Matthew 12:28-29
If I cast out demons by the Spirit of God, then the kingdom of God has come upon you...how can anyone enter the strong man's house and carry off his property, unless he first binds the strong man? And then he will plunder his house. (Jesus here claims to have bound satan and plundered his house)
2 Timothy 1:10
But is now made manifest by the appearing of our Saviour Jesus Christ, who hath abolished death, and hath brought life and immortality to light through the gospel
John 16:8,11
And when [the Holy Spirit] is come, he will reprove the world of sin, and of righteousness, and of judgment:...of judgment, because the prince of this world is judged
Acts 26:17-18
To the nations I now send you to open their eyes to turn them from darkness to light and from the power of satan unto God, that they may receive forgiveness of sins and inheritance among them who are sanctified by faith that is in me.
Jesus Christ, not satan, is God and King over this world (over all of heaven and earth):
Matthew 28:18
And Jesus came up and spoke to them, saying, All authority has been given to Me in heaven and on earth.
Ephesians 1:19-23
He raised Him from the dead and seated Him at His right hand in the heavenly places, far above all rule and authority and power and dominion, and every name that is named, not only in this age but also in the one to come. And He put all things in subjection under His feet, and gave Him as head over all things to the church, which is His body, the fullness of Him who fills all in all.
1 Peter 3:22
Jesus Christ, who is at the right hand of God, having gone into heaven, after angels and authorities and powers had been subjected to Him.
Revelation 1:5-6
Jesus Christ, the faithful witness, the firstborn of the dead, and the ruler of the kings of the earth. To Him who loves us and released us from our sins by His blood--and He has made us to be a kingdom, priests to His God and Father--to Him be the glory and the dominion forever and ever.
As for The Accuser, Who shall bring a charge against God's elect?
Romans 8:31-34
What then shall we say to these things? If God is for us, who is against us? He who did not spare His own Son, but delivered Him over for us all, how will He not also with Him freely give us all things? Who will bring a charge against God's elect? God is the one who justifies; who is the one who condemns? Christ Jesus is He who died, yes, rather who was raised, who is at the right hand of God, who also intercedes for us.
1 John 5:18
he that is begotten of God keepeth himself, and that wicked one toucheth him not.