1. You beat nothing he would typically reraise with apart from AK and maybe TT if hes aggro. I can understand calling flop a little, but when opp 2nd barells turn im folding. I also 3-bet a lot here preflop.

2. I lead the turn and fold to a raise. There are times i wont bet this and go for a check raise because its multiway, letting everyone else define their hand to me while also being able to c/r to isolate if needed.
I dont think c/c the flop and leading the turn is horrible either as its a scary line to opponent unless he has a monster.

3. Not sure. I think its probable Ak will call the flop bet and judge how you play the turn as QQ probably c/f's while KK and AA fire again along with AK. Opp could also be playing AK badly.