Isn't that like $1,700 or so? Seems like the initial summons would be enough to get this resolved without ever actually filing/doing anything.
Nope: it's nearly twice that, at the current sale price:
And how does one get an "initial summons" in small claims court without filing?
The far more likely scenario is that a huge number of account credentials were compromised and the OP is the lucky guy/gal (a) whose account details were actually used, and (b) is active on FT.
I don't know whether that is the far more likely scenario, but even if that did occur, a scammer would still need the OP's email password to either change the email address (which was apparently not done in this case), or to actually read the email which contained the gift-card numbers.
It seems pretty clear that the OP's email account was also hacked, and AA can hardly be blamed for that.