AA missed value bet? Plan for river

[KHALI]

2/4 table is passive and weak.

Hero is UTG with AA

UTG limps, Hero raises, UTG+2 calls(straightforward player), big blinds call. Four to flop.

Flop is Js Qs 4h

BB bets, UTG calls, Hero raises, UTG+2 call,BB calls, UTG calls.

Is this a spot to wait until blank hits on turn and raise there to thin field?

Turn 7c
,BB checks, UTG checks, Hero bets, all call

River is 3s

BB checks, UTG checks, Hero?

Would you value bet here and call or fold to a riase depending on read of player? Or check? I think these situations are a leak in my game as I get too weak at the end in multi-way pots. How big a mistake is the flop raise?