I hate it when I rush through these questions!!!! I'm wrong, of course. You were correct in your answer that there is only one chiral center. That said, the amine is certainly not a chiral center and is not reactive with the chiral alcohol.Bonus is wrong. There are 2 chiral centers and neither is near enough to the amine to cause racemization. The amine is not a chiral center.
Arrrrgggghhhh! I did it again here! There are 2 chiral centers on the 3-vinyl compounds and only 1 for the 4-vinyl compounds.3- and 4-vinylcyclohexanethiol each have 2 chiral centers.
Got that one right.e) is wrong since Br2 adds anti to double bonds, not randomly. You need to make models to see it maybe.