Yes, I should definitely have played it more aggro preflop and on the flop. Now my plan on the turn was also to c/f. But he checked behind. Either he doesn't like the ace or he is trapping. Maybe it is weak, but I decided that the situation was stinking, so I c/f the river. In hindsight, this is all due to my bad plays preflop and on the flop.

Full Tilt Pot-Limit Hold'em, $0.02 BB (9 handed) - Full-Tilt Converter Tool from FlopTurnRiver.com

saw flop

Button ($2.12)
SB ($0.19)
BB ($0.76)
UTG ($2.78)
UTG+1 ($0.53)
Hero (MP1) ($1.94)
MP2 ($0.44)
Villain (MP3) ($1.32)
CO ($0.61)

Preflop: Hero is MP1 with Q, Q
1 fold, UTG+1 calls $0.02, Hero bets $0.09, 1 fold, Villain raises to $0.16, 5 folds, Hero calls $0.07

Flop: ($0.37) 3, J, 5 (2 players)
Hero bets $0.25, Villain calls $0.25

Turn: ($0.87) A (2 players)
Hero checks, Villain checks

River: ($0.87) 8 (2 players)
Hero checks, Villain bets $0.43, Hero folds

Total pot: $0.87 | Rake: $0.05