What to do with JJ in .05/.10 nl?

[bwolf4]

BTN is very solid TAG. He played QQ very well when another player flopped a set of aces and he checked behind twice before folding to a river bet.

Full Tilt Poker, $0.05/$0.10 NL Hold'em Cash Game, 5 Players
LeggoPoker Hand History Converter

Hero (BB): $12.70
UTG: $10
CO: $13.80
BTN: $9.30
SB: $12.70

Pre-Flop: J[img]/images/graemlins/spade.gif[/img] J[img]/images/graemlins/heart.gif[/img] dealt to Hero (BB)
2 folds, <font color="red">BTN raises to $0.35</font>, SB calls $0.30, Hero calls $0.25

Flop: ($1.05) 7[img]/images/graemlins/diamond.gif[/img] 7[img]/images/graemlins/club.gif[/img] 2[img]/images/graemlins/spade.gif[/img] (3 Players)
SB checks, <font color="red">Hero bets $0.50</font>, BTN calls $0.50, SB folds

Turn: ($2.05) A[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">Hero bets $0.60</font>, BTN calls $0.60

River: ($3.25) 8[img]/images/graemlins/heart.gif[/img] (2 Players)
Hero checks, <font color="red">BTN bets $7.85 and is All-In</font>, Hero folds

Results: $3.25 Pot ($0.30 Rake)
BTN mucked and WON $2.95 (+$1.50 NET)

I put him on AK pretty much the whole way. He would have re-raised a higher pocket pair on the flop. Don't know why I bet the turn when the ace hit. I kind of just wanted to see where I was at. The fact that he didn't raise the turn makes me wonder if my AK read is wrong. What to do on the river? [img]/images/graemlins/confused.gif[/img]