10NL: Is my line here terrible?

[subtracticus]

No reads on the villain.

I'm learning and trying to improve my game, so any help is appreciated:

1) How is my check/call on this flop? I'd normally c-bet but with 4 players, overcards, and a flush draw I checked. Then his bet was so weak I felt I had to call.

2) I checked the turn thinking villain would put in another weak bet and I would check-raise, but in hindsight I'm thinking I should've bet out.

3) My thinking on the river was that my play in the hand already looks weak, so I bet weak figuring I can get a worse hand to raise me. Am I way off here?

Poker Stars, $0.05/$0.10 NL Hold'em Cash Game, 9 Players
LegoPoker Hand History Converter

MP2: $19.55
CO: $11.75
BTN: $4.80
SB: $3.80
BB: $1.85
UTG: $4.10
UTG+1: $14.20
UTG+2: $5.20
Hero (MP1): $9.85

Pre-Flop: 6[img]/images/graemlins/heart.gif[/img] 6[img]/images/graemlins/club.gif[/img] dealt to Hero (MP1)
UTG folds, UTG+1 calls $0.10, UTG+2 folds, <font color="red">Hero raises to $0.45</font>, MP2 folds, CO calls $0.45, BTN folds, SB calls $0.40, BB folds, UTG+1 calls $0.35

Flop: ($1.90) 2[img]/images/graemlins/heart.gif[/img] J[img]/images/graemlins/heart.gif[/img] Q[img]/images/graemlins/diamond.gif[/img] (4 Players)
SB checks, UTG+1 checks, Hero checks, <font color="red">CO bets $0.60</font>, 2 folds, Hero calls $0.60

Turn: ($3.10) 6[img]/images/graemlins/spade.gif[/img] (2 Players)
Hero checks, CO checks

River: ($3.10) J[img]/images/graemlins/diamond.gif[/img] (2 Players)
<font color="red">Hero bets $1</font>, <font color="red">CO raises to $2</font>, <font color="red">Hero raises to $6</font>, <font color="red">CO raises to $10</font>, Hero calls $2.80 and is All-In