Back down to a raise on the river?

[SlantNGo]

6-handed 1/2 Ladbrokes
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Reads: MP is loose-passive, I see him calling all the way down to the river then folding a lot, so I'm guessing he plays a lot of gutshot draws and/or trying to improve low pairs. Button is a LAG. Not sure how crazy he is, but he bets with any piece of the flop and raises 30% of the time pre-flop and sees the flop about 90% of the time.

Dealing Hole Cards(A/images/graemlins/diamond.gifA/images/graemlins/heart.gif)

Hero raised, MP called, CO folded, Button (LAG) 3-bet, SB folded, BB folded, Hero capped, MP called, Button (LAG) called

Dealing the Flop(10/images/graemlins/club.gif8/images/graemlins/diamond.gif3/images/graemlins/club.gif) 13 SB

Hero bet, MP called, Button (LAG) called

Dealing the turn(5/images/graemlins/spade.gif) 8.75 BB

Hero bet, MP called, Button (LAG) called

Dealing the river(J/images/graemlins/spade.gif) 11.25 BB

Hero bet, MP folded, Button (LAG) raised, Hero called

I decided to back down here. I put him on either:
1. Caught 2-pair
2. Holds something like JK and caught his jack.
3. Holds JJ and caught a set
in that order. I decided to back down here... correct move?

Results in white below:
<font color="white"> Button (LAG) mucked
Hero wins $29 with One Pair, Aces </font>

[naphand]

Looks fine to me.