1) if your stats are accurate it looks like he has KK/QQ/JJ/AK. Maybe KK pushes pre, maybe not. Since he's not likely to be playing 2 low diamonds, 2 extra outs vs. set.... even if he only pushes QQ with Qd here, you are still ahead ~40% of the time, and don't even need to hit your flush. Gotta call. I would likely fold without the Ad, though.

2) looks like a set. Is he a NIT or could he be making a move? Call or fold, both pretty meh. I don't think a push over has fold equity, but since you win a show down AXd if no diamond hits, I think I just call and see what he does on the turn. He didn't raise quite enough to kill your implied odds. (you have to call 16 with 66 behind, almost 4:1 implied odds).