I observed the villain to be very aggressive having played all 8 hands (6 or 7 for raises) before I got dealt QQ in the BB. I saw him take down 3 pots with preflop raises and a pot sized flop bet. I observed this hand from the villain before I got dealt in:


Villain is MP1

Full Tilt Poker
Pot Limit Holdem Ring game
Blinds: $0.05/$0.10
8 players
Converter

Stack sizes:
UTG: $5.70
UTG+1: $10.15
MP1: $9.35
MP2: $13.55
CO: $2
Button: $9.10
SB: $11
BB: $7.55

Pre-flop: (8 players)
2 folds, MP1 raises to $0.35, MP2 calls, Button folds, SB calls, BB calls.

Flop: K 3 3 ($1.4, 5 players)
SB checks, BB checks, MP1 checks, MP2 checks.

Turn: 2 ($1.4, 5 players)
SB checks, BB checks, MP1 bets $1.4, MP2 folds, SB calls.

River: T ($4.2, 3 players)
SB checks, MP1 checks.

Results:
Final pot: $4.2
SB showed 3c 5c
MP1 showed Jh Qd

Now the hand in question. Is my turn pot sized bet here the best play?

Full Tilt Poker
Pot Limit Holdem Ring game
Blinds: $0.05/$0.10
9 players
Converter

Stack sizes:
UTG: $13.20
UTG+1: $1.90
MP1: $9.10
MP2: $15
MP3: $7.65
CO: $3.55
Button: $8.60
SB: $8.15
Hero: $10

Pre-flop: (9 players) Hero is BB with Q Q
3 folds, MP2 calls, MP3 calls, 2 folds, SB calls, Hero raises to $0.5, MP2 folds, MP3 calls, SB calls.

Flop: Q A K ($1.6, 3 players)
SB checks, Hero bets $1.6, MP3 folds, SB calls.

Turn: 9 ($4.8, 2 players)
SB checks, Hero bets $4.8, SB folds.
Uncalled bets: $4.8 returned to Hero.

Results:
Final pot: $4.8