PF cap is not a huge mistake only because you will be OOP the rest of the hand. I think I call the 3bet on the flop. JJ is very good but your position is sucks.

I call the flop with the backdoor str8 and flush draw and possibility of trips draw. I think Button raise on the flop is a sign of strength (based on no reads) and its now heads up.

I reevaluate the turn