Forgive my disagreement but I've got concerns here.

I flat out don't like the AJo raise pre-flop. That's a simple pot equity from the small blind opinion. Take it as you will.

Now here's the real issue. What does leading out with that flop bet achieve? Anyone with 4 decent outs is bound to call the raise. Our hero is in the worst possibe position at the table for this hand. 5 opponents who presumably had playable hands are down the line. It is unlikely that none of them will draw out and beat those Jacks. He has but 5 outs to improve. I say check the turn to let the field indicate strength. An early bet can be called to leave things equal. A late bet can be raised to eliminate draws. No bet is unlikely. This turn bet is only an invitation to better pot odds for the draws. Check the turn with the intention of reraising a bet from late position.

Betting into these fields with a pair of Jacks and a raised pot will cost you in the long run.