Extracting the most money with the nuts (50$ NL on Party).

Party Poker No-Limit Hold'em, $ Hero (9 handed) FTR converter on zerodivide.cx

Hero ($49.25)
UTG ($27)
UTG+1 ($48.85)
MP1 ($62.60)
MP2 ($32.60)
MP3 ($62.32)
CO ($51.05)
Button ($97.14)
SB ($59.55)

Preflop: Hero is BB with T[img]/images/graemlins/spade.gif[/img], K[img]/images/graemlins/club.gif[/img]. SB posts a blind of $0.25.
<font color="#666666">3 folds</font>, MP2 calls $0.50, MP3 calls $0.50, <font color="#666666">1 fold</font>, Button calls $0.50, SB (poster) completes, Hero checks.

Flop: ($2.50) A[img]/images/graemlins/spade.gif[/img], 3[img]/images/graemlins/club.gif[/img], Q[img]/images/graemlins/heart.gif[/img] <font color="#0000FF">(5 players)</font>
SB checks, Hero checks, <font color="#CC3333">MP2 bets $0.5</font>, MP3 folds, Button folds, SB calls $0.50, Hero calls $0.50.

Turn: ($4) J[img]/images/graemlins/spade.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, Hero checks, <font color="#CC3333">MP2 bets $2</font>, SB calls $2, <font color="#CC3333">Hero raises to $4</font>, MP2 calls $2, SB calls $2.

River: ($16) 5[img]/images/graemlins/club.gif[/img] <font color="#0000FF">(3 players)</font>
SB checks, <font color="#CC3333">Hero bets $10</font>

Final Pot: $36

What do you think of the way I played the hand ?
I don't like min raises at all, I hardly ever min raise but I really did not wanted anyone to fold here. However, I still don't know if it were the "right" play or not.
Comments on all streets are welcome.
Thank you !