Congrats on your approval!!!!
No you won't get AA'd now because they approved you already knowing you had new accounts. I hear the magic number is 6 months with Barclays before you apply for new accounts. I guess that means you are out of the woods after that. However this a a YMMV situation.
I have opened at least 8 different cards since I've had Barclays since Sept and nothing has happened yet.....crossing my fingers because this is my 6th month now . But they have been sp'ing me so they do know about the cards.
But i have gotten other cards 4 times the limit of my Barclays so if they shut me down then oh well.