1. Is it normal?
Well, depends on what you think normal means. ;) Normal often juist points to what we are most familiar with.
2. Times seems to pass faster
Time is a perception. As such it can go away completely. Meaning that it is possible that you reach a point where you will experience no time, or the absence of all time. That is part of vipassana, btw. So, your practice is, as far as I'm concerned, correct.
3. Is this a problem?
There really are no problems at all. Problems are mind created. So, no.