Other mistake: When Tarkin walks out of the Batch's quarters and the shock troopers follow him, the one on the right side of the door has his hands positioned to hold a blaster, but no weapon is present. (00:38:35)
Other mistake: When walking through the Captain America display at the Smithsonian, Brody and Sam stand in front of a Captain America mannequin next to his shield. The mannequin is wearing boots of noticeably different heights.