That seems to be pretty defined to me . No fire to sit in front of and no coal left doesn't sound very hot or warm to me. It sounds like the fire has burned out.
But the rest of the dead lived not again until the thousand years were finished. This is the first resurrection.
As mentioned in Revelation 20 verse 5.....
sounds like they were not really alive until they were resurrected and the second death is final.
And what about the new heavens and a new earth where there is no more pain or suffering or crying or torment anymore?
If there will be no more pain or crying or torment to be anymore in the new heavens or the earth then where would the always burning tormented wailing people be?
If not in the home of the righteous in the new heavens and earth.
So where are they?
Where did they go and why won't we see them anymore?
Where are the former things?

If as written..
For, behold, I create new heavens and a new earth: and the former shall not be remembered, nor come into mind.
Isaiah 65:17
and
2 Peter 3:13
Nevertheless we, according to his promise, look for new heavens and a new earth, wherein dwells righteousness.

God shall wipe away all tears from their eyes; and there shall be no more death, neither sorrow, nor crying as in
Rev 21:4
No more sounds like no more to me.
So if the new heavens and the new earth is going to be a happy place then where are all the crying burning people going to live?
If they are still alive that is.
But I think the former things will all pass away it will be all gone and it will all be made new.

http://www.jesus-is-savior.com/Books,%20Tracts%20&%20Preaching/Printed%20Books/Golden/sgdb-chap_14.htm

A beautifull new creation a new place.
And in the second death it must eventually be final, as.
Because they could not be alive in the new heavens and new earth as it will be a new wonderful place to exist in.
As written about.
So if they are not there where else is there to go as it looks to me like the former is gone.