I don't know If I'm playing these spots correct, I would appreciate if someone can help me with these spots.

Hero has AKo on btn, the villain opens for 2.5x in CO, I 3 bet him and flop comes 862 rainbow. The villain checks and now what? In my opinion I should check because the villain has sets, overpairs and some air. I should have a lot of more overpairs than him but a lot of times they have here hands like 99, TT, JJ, QQ, there are of course sets 888, 666.

Hero has AKh on btn, the villain opens for 2.5x in CO, I 3 bet him. Flop comes 8h 6h 2s, the villain checks and hero? In my opinion it's a 1/2 bet. If he calls and turn comes non heart 5, 7, 9, T, J I'm gonna check, if the turn comes Q (doesnt matter what suit), K or A, I'm gonna double barrel this. Is my thinking good or am I missing something here?

It's just annoying to lay down hands like AK in 3 bet pots on flops like these.