All right - how about we tackle this one for discussion:
1- on the event horizon of the gravity of a black hole
My understanding is that isn't true. At the event horizon, time and space swap places. Right now you can move freely in space but only one direction in time. Inside a black hole no matter what direction you try to move it's in the direction of the center. So if you try to fly out of it you just move more quickly to the center of the black hole. Whereas it becomes possible to observe and move freely back and forth in time. But no matter what you do you can only move towards the center - but your time co-ordinate still changes. You're not static in time. If you were, nothing would ever reach the center of the black hole.
And in modern thinking the 'big bang' did not originate in a 'singularity'. A singularity just refers to a mathimatical issue, but it is believed that the center of the 'big bang' was not a zero size. Unfortunately all the laws of physics as we know them completely fail in the microseconds after the big bang so we can't use any math or science to calculate what the actual center would have been like. The rules of our universe simply would not have applied, we don't know what did.
I have never heard the theory that time stops if the expansion of the universe stops. Unless you're referring to the great cosmic rip theory where the universe rips itself apart and the space/time fabric is gone. I'd like to hear more about this theory if you have anything to share.