KK hand...how weak am I!?

[SonOfWestwood]

Is this too weak? Or is it alright to just let the "bully" bet in to me each round? I thought about re-raising on the flop, but wimped out, which is why my play feels weak.

BB is 34/13/2.6 w/ 62 hands. Only hand I saw that he showed after pre-flop raising was J8s.

Party Poker No-Limit Hold'em, $ BB (9 handed) converter

SB ($14.92)
BB ($33.1)
Hero ($22.5)
UTG+1 ($23.4)
MP1 ($15.07)
MP2 ($20.76)
MP3 ($23.45)
CO ($33.5)
Button ($24)

Preflop: Hero is UTG with K[img]/images/graemlins/heart.gif[/img], K[img]/images/graemlins/spade.gif[/img]. SB posts a blind of $0.1.
<font color="#CC3333">Hero raises to $1.5</font>, <font color="#666666">7 folds</font>, BB calls $1.25.

Flop: ($3.10) 6[img]/images/graemlins/spade.gif[/img], 5[img]/images/graemlins/heart.gif[/img], J[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
BB checks, <font color="#CC3333">Hero bets $3</font>, <font color="#CC3333">BB raises to $6</font>, Hero calls $3.

Turn: ($15.10) 2[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $5</font>, Hero calls $5.

River: ($25.10) 5[img]/images/graemlins/diamond.gif[/img] <font color="#0000FF">(2 players)</font>
<font color="#CC3333">BB bets $10</font>, Hero calls $10 (all in).

Final Pot: $42.85