What to do...

I’ve been having trouble getting any reads on these guys so I can’t really say I have anything specific. Everyone seems to just be playing the regular “bet on a strong card” shorthanded HE.

** Firestarter [Hold 'em] (1.00|2.00 Fixed Limit - Cash Game) Real Money

- Button sitting in seat 1 with $20.00 [Dealer]
<font color="red">- Hero(SB) sitting in seat 2 with $32.75 </font>
- BB sitting in seat 3 with $22.00
- UTG sitting in seat 4 with $46.37
- MP sitting in seat 5 with $34.00
- CO sitting in seat 6 with $26.50

<font color="red"> Hero posted the small blind - $0.50</font>
BB posted the big blind - $1.00

** Dealing card to ItalianFX: Q[img]/images/graemlins/diamond.gif[/img], A[img]/images/graemlins/spade.gif[/img]
UTG folded
MP folded
CO raised - $2.00
Button called - $2.00
<font color="red">Hero raised - $3.00 </font>
BB folded
CO called - $3.00
Button called - $3.00

** Dealing the flop: Q[img]/images/graemlins/club.gif[/img] K[img]/images/graemlins/club.gif[/img], K[img]/images/graemlins/diamond.gif[/img]
<font color="red"> Hero bet - $1.00</font>
CO folded
Button called - $1.00
As the button kept calling down, I was thinking he had Kx and was just calling to the showdown incase I had QQ


** Dealing the turn: 6[img]/images/graemlins/spade.gif[/img]
<font color="red">Hero bet - $2.00</font>
Button called - $2.00
Called down again...does he have the King?

** Dealing the river: 5[img]/images/graemlins/spade.gif[/img]
<font color="red">Hero checked</font>
Button checked
--Should I have bet here?
--Also, does anybody see anything else wrong with the rest of the play?