Yes, the fate of the unsaved is punishment, not punishing.in Revelations, once the hellfire goes out the earth is remade.
I don’t understand “hellfire goes out”.
Read John 5: 28,29.
We all have mortal bodies which will die. We will all be resurrected, some to eternal life in God’s kingdom, some to eternal punishment. This is referred to as the second death.
By the way, the last book of the bible is Revelation (short for the revelation of Jesus Christ), not “Revelations”.