NL50 - AA on connected board

[customer_nr1]

Villain is 32.56/9.3/2.67(Postflop only) over 86 hands.

Poker Stars, $0.25/$0.50 NL Hold'em Cash Game, 8 Players
LeggoPoker.com - Hand History Converter

BB: $43.85
UTG: $11.80
Hero (UTG+1): $57.50
MP1: $82.60
MP2: $56.55
CO: $35.85
BTN: $52.80
SB: $49.85

Pre-Flop: A[img]/images/graemlins/club.gif[/img] A[img]/images/graemlins/diamond.gif[/img] dealt to Hero (UTG+1)
UTG folds, <font color="red">Hero raises to $2</font>, 4 folds, SB calls $1.75, BB folds

Flop: ($4.50) T[img]/images/graemlins/heart.gif[/img] 7[img]/images/graemlins/spade.gif[/img] 6[img]/images/graemlins/spade.gif[/img] (2 Players)
SB checks, <font color="red">Hero bets $3.50</font>, SB calls $3.50

Turn: ($11.50) 9[img]/images/graemlins/spade.gif[/img] (2 Players)
SB checks, <font color="red">Hero bets $7.50</font>, <font color="red">SB raises to $15</font>, Hero folds

Is bet/folding okay here? Or should I just check behind?
Does it change anything if I have the As here?