The truth is that the oldest and most reliable biblical manuscripts include Christ’s explicit statements about Hell. The gospel writers didn’t make up their Lord’s words in the gospels. They simply recorded them.

Hell will have degrees of punishment; each person's punishment will exactly correspond to his sins.

Jesus told the dying thief on the cross, "Today you will be with me in paradise" (Luke 23:43). The apostle Paul said that to die was to be with Christ (Philippians 1:23), and to be absent from the body was to be present with the Lord (2 Corinthians 5:8).

Yes, people in Heaven have some idea of what’s going on here. They may not know or pay attention to everything that’s happening (like the time you slipped ice into your brother’s pillowcase). But the martyrs in Revelation 6 knew that God hadn’t yet brought judgment on those who killed them, so it’s likely that they knew many other things about what’s happening on earth.

I’m not familiar with that as a Mormon belief. However, I have had upset people tell me “But Mormons and Jehovah’s Witnesses believe in the New Earth.” 

The New Testament reflects much more specific revelation from God of the afterlife. Yet there are some strong Old Testament indicators, though not nearly as many.

Your distinction about eternity being “without time” is interesting, however perhaps not supportable. Only God is timeless.

I’ve been searching online for something to help you concerning purgatory, and I’m not happy with anything I’ve found. Some are brief, but too brief, don’t cite sufficient Scripture, and are just too shallow.  

In Heaven, we will recall some—likely most or all—of our lives on earth.  This is among the most controversial beliefs I’ve presented in my books, yet there’s clear scriptural evidence for it.