I'd play it the same way and call the turn shove. I would be betting the flop a little larger though as it's a little wet, but not too worried as we have the Ks in our hand.

Not folding turn.

In a 3 bet pot your c bet size should be fine, but bigger if you expect to get called certainly doesn't hurt.

On the turn because you made it so big it's hard to recommend a fold, but two straights have now just hit. At 5 NL I don't expect him to be bluffing here much with a one pair hand, nor should he play QQ this way.

For nearly half a stack when there's nothing he likely plays this way for value I'd be looking to hero fold. You can probably bet smaller on the turn to lose less when you fold but still leave an easy shove for the river where villain is getting great odds to call a lot of worse hands.

Thank you for answering me guys !