Eternal life to live as we were meant to live - free of sin, illness and death. I presume we will work, rest, fellowship, worship, live in a community, enjoy the beauty of the new Earth.
Sorry I may have missed your question, I'm not on this thread all the time, I do have other things to do!
It's a very difficult question, because who wants to see terrible things happen to innocent children. Doesn't matter whether you have faith or not, it's upsetting. I can't answer why God allows the level of suffering that happens in this world to continue. He allows us to have free will, but so many abuse that, so why wouldn't he stop it. God has not remained distant from this human suffering though, as he died on the Cross himself, why did he do that? So that He has become part of human suffering. He was resurrected, He will bring judgement on those who have caused suffering, a harsh judgement. Yes an abuser has the opportunity to repent as do all of us. However if that person does not, then he is condemned in God's eyes, rightly so.
There isn't a nicely packaged answer to give you. This is a great video by an Oxford professor of Maths, who is also a Christian, named John Lennox. He talks about suffering, atheism, Richard Dawkins, judgement amongst other things.