You ask about one specific Bible verse in Revelation 20:13, and the one specific Greek word that is translated 'works' (plural). Then you quote two other Bible verses before asking (in addition to your initial question) how the Revelation verse fits in with, "him who does not work" [Romans 4:5].
To understand what "works" everyone on the Day of Resurrection and Judgment will be examined and judged on, the need is to see that Romans 4:5 is dealing with believers like Abraham, and Christians, whose belief in the promises of God will be seen by God as the faith that pleases him. Then Paul gives an illustration of (secular) work for which a person gets paid wages. Those wages are earned, and the worker is entitled to his wages. He does not receive them as a gift, but as an obligation (vs. 4)! "For the wages of sin is death; but the gift of God is eternal life through Jesus Christ our Lord." - Romans 6:23
Back to Romans 4 vs. 5 which switches back to the matter of believing faith that pleases God. That involves no work because saving faith is not work - it is a gift of God. Nobody is entitled to a gift. It has to be received with an open hand and heart, in appreciation. Imagine if you were being offered a wonderful gift but as you held out your hand to receive it, there was a wad of notes in it, and you said, "Please take this money as a token of my appreciation." What an insult to the Giver!
Yet this is what so many people try to do with God. They do not have faith to believe that God's pardon of their sins is freely given (to those who believe that Christ was punished for their sin, in full, for them, at the cross). They think they must do something to at least partially contribute towards salvation. They do not grasp that when the gift of grace is properly accepted, they will change to want to do good things that God had foreordained for them to do, for his glory (Ephesians 2:4-10).
But this has nothing to do with the works of Revelation 20:13. For a start, every human who lived and died will be judged on their individual works. Billions have never had saving faith in God. Oh, they might have believed God exists, or that gods exist, but they did not do what they did for God's glory (especially not if they did those things for the glory of their idolatrous gods). Even the demons believe the one God exists - and shudder, knowing what eternal judgment God has in store for them (James 2:19).
No, the 'works' in Revelation 20:13 are all the things people ever did, as recorded in "the books" that are opened on Judgment Day. To quote from this exposition:
"This passage depicts the general resurrection of the dead, precisely
as did that of the parable of the sheep and the goats. Just and
unjust, righteous and wicked, from the beginning of time to the end of
it, all stand before God in the risen body at one and the same time...
The names of the saints, of the righteous, of the just, of those
dwelling in that eternal life which was with the Father, and was
manifested unto the apostles, all these, every last one by name, are
found written in the book of life. But this book is opened at the same
time as the other books, namely those books out of which the goats,
the wicked, the unjust, the contentious, are judged simultaneously.
'And the books were opened: and another book was opened, which is the
book of life: and the dead were judged out of those things which were
written in the books, according to their works.' Rev. 20:12
...a distinction is made between the book of life and the rest of the
books, but this distinction makes no difference to the overriding
standard of judgment, no matter which book. For the dead are judged,
and all the dead are judged 'according to their works'. How is this?
You were told in the beginning of the gospel of God: 'Who will render
to every man according to his deeds: to them who by patient
continuance in well doing seek for glory and honour and immortality,
eternal life: but unto them that are contentious, and do not obey the
truth, but obey unrighteousness, indignation and wrath, tribulation
and anguish, upon every soul of man that doeth evil, of the Jew first,
and also of the Gentile; but glory, honour, and peace, to every man
that worketh good, to the Jew first, and also to the Gentile: for
there is no respect of persons with God' Romans 2:6-11...
What was in these books? The record of all the past lives of all the
dead, whilst yet they were upon the earth... How is the life of those
written in the book of life recorded? The record of all who are named
in this book has the like testimony: 'by patient continuance in well
doing' these all sought 'for glory and honour and immortality.' That
is the invariable and inevitable effect of life from God. Given that
interior life, such living consequences must follow. It is the issue
of life. Hence it is called 'the book of life'.
Someone will say, but are we not justified by faith? Yes; but why say
it? However we are justified, John assures us that we are judged
according to our works. If thou sayest, I am justified by faith, then
show me your justification by your life, for that is the evangelical;
criterion now and it is the standard of judgment in that day... But
know this, the greater multitude who profess justification by faith
have no life, and bring forth no such works at all, nor do they once
seek for glory and honour and immortality with all their heart, and
with all their soul, and with all their mind, and with all their
understanding, all the days of their life. Nevertheless, whatever
their false hope, the works of their lives shall assuredly be judged
by the same criteria as all the number of those who were truly
justified by faith, and who brought forth the living fruits thereof.
Nothing in time or eternity changes these words, or can change them:
'judged according to their works' Rev. 20:12-13. The Revelation of
Jesus Christ, pp. 569-571, John Metcalfe
That is how the "works" [Rev 20:13] of "him who does not work" [Romans 4:5] makes perfect sense.