Bad play?

[Materazzi]

Playing pot limit 1/2 blinds, my stack is $89. I am dealt AA3K, and raise the pot which was $8. This is the first time I have raised pre-flop having played for over an hour with these two players at the table. I have two callers, one with $7 left and a big stack with over $200. The flop comes 82K rainbow, and I'm first to act. Is this my first mistake, but i raise just $8. The short stack calls and is now all in, the big stack calls. The turn brings another A, now I know I am in the lead for the high and so raise the pot. The big stack re-raises the rest of my stack all-in, which I am pleased to call. He shows 3344, and has a lock on the low. The river brings a 5 and he scoops. Now my question is has he played this badly in calling on the flop? My initial thought at the time was that he indeed played the hand badly and got lucky, but did he have the right pot odds to call? Bearing in mind I raised pre-flop and there was another caller, so you have to assume there is at least one ace gone. Advice please.