Revelations 21 1-4
21 And I saw a new heaven and a new earth: for the first heaven and the first earth were passed away; and there was no more sea.
2 And I John saw the holy city, new Jerusalem, coming down from God out of heaven, prepared as a bride adorned for her husband.
3 And I heard a great voice out of heaven saying, Behold, the tabernacle of God is with men, and he will dwell with them, and they shall be his people, and God himself shall be with them, and be their God.
4
And I saw a new heaven and a new earth: for the first heaven and the first earth were passed away; and there was no more sea. shall wipe away all tears from their eyes; and there shall be no more death, neither sorrow, nor crying, neither shall there be any more pain: for the former things are passed away.
You can see here in Revelations 21:4 there will be no more death. So long as we live in flesh there will be death, because our flesh bodies are not immortal. They grow old and die. This also refers to there will be no more death spiritually either because all judgement has been passed, everyone damned to hell will be erased, so only the ones left will be God children that loved Him enough to follow the rules.
A "soul" in the Bible is a living, breathing, physical being. Both animals and humans are called "souls" in the scriptures. It never refers to a disembodied spirit or something inside man. In fact the Bible does not teach that we "have" a soul at all.....it says that we "are" a soul......mortals souls who die.
Yes the soul that sinners shall die (without repentence).
Here is the word for soul taken back to its Greek root word. Psuché
Strong's Greek: 5590. ψυχή (psuché) -- breath, the soul
The soul is an intangible thing, the breathe of God so it can't be a physical being. Though it resides within physical beings.