nl2 AA overpair betsizing

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.01/$0.02 No-Limit Hold'em (8 handed)

Known players:
[tg]SB$2.91:///////;BB (Hero)$1.81:///////;UTG2$2.20:///////;MP1$2.57:///////;MP2$2.08:///////;MP3$2.00:///////;CO$1.66:///////;BU$5.28:///////;[/tg]

Preflop: Hero is BB with A:d, A:s.
3 folds, MP3 raises to $0.08, 2 folds, SB calls $0.07, Hero raises to $0.32, MP3 calls $0.24, SB folds.

Flop: ($0.72) 9:h, 4:h, 4:s (2 players)
Hero bets $0.44, MP3 calls $0.44.

Turn: ($1.6) 9:s (2 players)
Hero bets $1.05, MP3 calls $1.05.

River: ($3.7) 5:c (2 players)

Final Pot: $3.7.
Results follow:

Hero shows two pairs, aces and nines(A:d A:s).
MP3 shows two pairs, queens and nines(Q:c Q:h).

Hero wins with two pairs, aces and nines(A:d A:s).

Was I betting the right amounts here? I was quite sure he hadn't hit anything on any street. And pre-flop what is the correct raise size?