Not having any stats on the Villain makes this a tough hand.

Your Pre flop Play: AA KK would be worth 0.35-0.40 The Ac Jc I may have wagered only 0.20-0.25 Just to get some action on the hand. But it worked out you got 2 callers at 0.40 and that's all the action you really wanted.

Flop: The pot was $1.35 and you wagered $1.10 Not a bad wager at all. No reason not to think that you have the best hand at this point. You want to take it down right here or you would not mind a call for a little action. So good play.

Turn: This is kind of a scare card here, but still no reason not to wager and see where you stand. $3.55 in the pot and the 1.90 bet is not bad. You are still showing your strong.

(Now the villain calls you, you have no stats on this guy. Right now I have to think one of two things. 1. Villain is a strong poker player and has played this hand real well. 2. Villain is a hack and is over playing his QQ he can not fold. Other possible hands he may have can be a PP due to his 0.40 pre flop call, maybe A 4 suited or even trip 5's.)

River: This was the only spot I really see you making a mistake in this situation. I would be looking to do more of a blocking bet in this spot. At this point you want a show down for as cheap as possible.

With that being said, you put yourself in a position to get involved in a big pot with a villain that you have very little info on. After the $4 river bet you kinda put yourself in the position to payoff his push.

I say pay it off at that point, if you win great. If you lose the hand u drop a buy-in and consider it lesson learned.