Slow play best here?

[Uruk17]

Poker Stars - No Limit Hold'em Cash Game - $0.05/$0.10 Blinds - 7 Players - (LegoPoker Hand History Converter)

SB: $8.70
BB: $6.15
UTG: $4.70
UTG+1: $3.45
MP: $15.75
Hero (CO): $10.45
BTN: $11.55

Preflop: Hero is dealt 3[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/diamond.gif[/img] (7 Players)
UTG calls $0.10, 2 folds, Hero calls $0.10, BTN calls $0.10, SB calls $0.05, BB checks

Flop: ($0.50) 2[img]/images/graemlins/diamond.gif[/img] J[img]/images/graemlins/club.gif[/img] 3[img]/images/graemlins/heart.gif[/img] (5 Players)
SB checks, BB checks, UTG checks, <font color="red">Hero bets $0.30</font>, 2 folds, <font color="red">BB raises to $0.60</font>, UTG folds, Hero calls $0.30

Turn: ($1.70) 7[img]/images/graemlins/spade.gif[/img] (2 Players)
<font color="red">BB bets $0.40</font>, Hero calls $0.40

River: ($2.50) Q[img]/images/graemlins/heart.gif[/img] (2 Players)
<font color="red">BB bets $0.40</font>, <font color="red">Hero raises to $1.50</font>, BB folds

Pot Size: $4.40 ($0.15 Rake)

I was very sure i had the best hand the whole way through, especially since he was in the big blind. I had put him on any jack.
My question is do you think a raise on the turn woulda shown more profit, i believe the queen scared him. Also what about my raise size on the river is it ok?