As played, preflop its your big 3bet that might have given your hand away. It looks like your trying to protect a big pair from the faqt that your abit deep. You need a wider range, not bigger bets to deal with (bad) set hunters.

Then, if you had AK you would prolly try to rep the Q on the turn, when you check call it looks like your trying to keep the pot down, either scared of a set or perhaps of the Q/bigger pair. By taking this line OOP your more or less ruling out any bluff from your range.

Check the turn and your hand is now a bluff catcher, looking scared/prepared at some point to give up vs a semi-unknown. With only 50 hands worth of info to base our remaining play on.

So bet the turn, if he raises you on the Q then your hand is in bad shape. If he only calls, then you can run a c/c line at the river or put in a small value bet.

If its about the river action, the way the entire hand was played, I would call.

If its about the hand in general I would make it 11$ preflop, bet flop, bet turn and any river action is opp dependent.