Other mistake: Right after Julie is born and they're taking her away, the nurse is opening the door. Then they change over to the mother, then back to the baby, and the nurse is just opening the door again.
Other mistake: In the scene when Mollie, James, Mikey, and Julie are in the restroom together, Mollie tells James (who was shaving) to hold Julie while she explains something to Mikey. While James reaches down to grab Julie, he has shaving cream on his upper lip. But, when he comes back up, the shaving cream is gone.