Bet this River?

[Silly String]

Converter seems to be down, so here it is in long form:
Should I have bet the river after the J dropped?
I felt pot committed at that point. I realize my $6 isn't going to do much damage at that point, but if it's going in, I'd rather push it than call it.

Hold'em No Limit ($0.10/$0.25)
Seat 1: Silly String ($13.35 in chips)
Seat 2: Villain ($45.95 in chips)
*** HOLE CARDS ***
Silly String [Ac Qh]
3 folds
Silly String: raises $0.75 to $1
Villain: calls $1
1 fold
Button: folds
2 folds
*** FLOP *** [5c Qd 2s]
Silly String: bets $2
Villain: calls $2
*** TURN *** [5c Qd 2s] [Ts]
Silly String: bets $4
Villain: calls $4
*** RIVER *** [5c Qd 2s Ts] [Jc]
Silly String: bets $6.35 and is all-in
Villain: calls $6.35
*** SHOW DOWN ***
Silly String: shows [Ac Qh] (a pair of Queens)
Villain: shows [Qc Jh] (two pair, Queens and Jacks) BoSoxFinally collected $25.75 from pot
*** SUMMARY ***
Total pot $27.05 | Rake $1.30
Board [5c Qd 2s Ts Jc]
Seat 1: Silly String showed [Ac Qh] and lost with a pair of Queens
Seat 2: Villain showed [Qc Jh] and won ($25.75) with two pair, Queens and Jacks Seat

[DimitriT]

Heads up, I am all-in on that flop.

[Sed]

Heads up, I am all-in on that flop.

I push the turn.. at least get more than 1$ in the pot before pushing.

- sed

[Silly String]

I usually have a bigger stack here. If I had say $23 left after the flop or the turn, do you guys still push?

What is the point of pushing, aren't you only going to be called by flopped sets? Or are you banking on the idiots who call with TP mid-weak kicker?

[EricE]

What is the point of pushing, aren't you only going to be called by flopped sets? Or are you banking on the idiots who call with TP mid-weak kicker?

You are not looking to showdown, you are looking to make money. If he folds you make money.