25nl Big draw on the flop

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Did i play this hand right?
The way its i played i dont think i have any FE, but i dont think i can fold to his raises.
Line check?

Party Poker - No Limit Hold'em Cash Game - $0.10/$0.25 Blinds - 5 Players - (LegoPoker HH Converter)

SB: $23.00
BB: $26.91
UTG: $24.35
CO: $25.00
Hero (BTN): $26.35

Preflop: Hero is dealt A[img]/images/graemlins/spade.gif[/img] 9[img]/images/graemlins/spade.gif[/img] (5 Players)
2 folds, <font color="red">Hero raises to $1.00</font>, SB folds, BB calls $0.75

Flop: ($2.10) 2[img]/images/graemlins/spade.gif[/img] Q[img]/images/graemlins/spade.gif[/img] A[img]/images/graemlins/diamond.gif[/img] (2 Players)
BB checks, <font color="red">Hero bets $1.50</font>, <font color="red">BB raises to $3.00</font>, <font color="red">Hero raises to $9.50</font>, <font color="red">BB raises to $16.00</font>, Hero calls all-in for $15.85, BB calls $9.35