AA postflop

I would get it in on the flop. He can have a hand like K7o to raise here. With AA you're way ahead of him.

You have any idea with what type hands he is taking the initiative? This answer is crucial of how do you play postflop.

Anyway. Seems fine to me. It's hard to fold to a min-raise OTF. As played check/call to a such small bet OTR is okay. I dont like this K OTT so I agree with your passive approach here. I prefer to keep V's range as wide as possible

On my opinion he can some weak Kinga here or strony hand too (I see this moves from opponents with top pair weak kicker and two pairs/sets). I decide call to keep weak kings here (Vs re-raise he can fold) and flush draw (possible too for me). On river od comes third diamond I prefer here fold, vs this sizing I call here on blank card.
King is the worst card on turn.

I play it the same, a "click back" on that flop is either top pair or a set. Recs fast play their nutty hands as soon as the board looks a little drawy, at least you didn't go broke.

Villains min raise on the flop is weird and is villain depended how you need to proceed.
Without reads I would most likely go for stacks without a flush blocker and start with a 3bet of aound 70c.
Turn play is standard and I would go for a thin value bet on the river and fold to a shove. Around half pot is big enough.

Cheers,
SDK1987