Legit BB defence?

Hand converted with online PokerStrategy.com hand converter:

Play hand

$0.05/$0.1 No-Limit Hold'em (9 handed)

Known players:
[tg]BU$16.65:///////;SB$10.75:///////;BB (Hero)$12.20:///////;UTG1$14.61:///////;UTG2$11.90:///////;MP1$10.15:///////;MP2$10.90:///////;MP3$13.16:///////;CO$10.00:///////;[/tg]

Preflop: Hero is BB with A:h, 6:d.
7 folds, SB raises to $0.30, Hero raises to $0.90, SB calls $0.60.

Flop: ($1.8) 9:d, A:d, J:c (2 players)
SB bets $0.60, Hero calls $0.60.

Turn: ($3) 3:d (2 players)
SB bets $1.30, Hero calls $1.30.

River: ($5.6) 6:c (2 players)
SB checks, Hero bets $2.70, SB calls $2.70.

Final Pot: $11.

Results follow:

Hero shows two pairs, aces and sixes(Ah 6d).
SB shows two pairs, jacks and nines(9s Js).

Hero wins with two pairs, aces and sixes(Ah 6d).