Other mistake: Elizabeth picks up a stuffed bunny which supposedly was from her childhood. The bunny has burns on it after being in a fire. You can see 2 plastic tag fasteners attached to the bunny, which wouldn't have survived the fire.
Suggested correction: Later we see in the flashback that Liz was holding the bunny. It only got singed as she was escaping. It wasn't "in" the fire.
Other mistake: The license plate of the car used by Platt (93N-LI62) is the same as the one used by Charlotte Patterson in episode 13 (season 1): The Cyprus Agency. (00:01:10)
Other mistake: The doctor is supposedly being led away in handcuffs, but isn't handcuffed when an explosion goes off behind them and they are thrown to the ground. (00:37:30)
Other mistake: When Paul goes into the bank he's carrying the money bag. When he is seen walking into the bathroom for the first time, he isn't carrying the bag, which is already on the windowsill.