Continuity mistake: Agent Wells is chasing the bad guy on foot. In the first shot her SIG is not cocked. In the next shot it is cocked. In the next shot the slide is retracted. In the next shot she somehow magically fires it. Then the hammer is somehow forward again. A few seconds later as she climbs the stairs it supernaturally transforms into a Glock. And at no time does she use a proper grip on the gun.
Continuity mistake: Agent Wells spots Lozano leaving the Pentagon and begins a high speed chase. During that chase Lozano is alternately wearing and not wearing his seat belt. In addition, Lozano's car is only damaged in the close-up scenes; whenever the car is shown from a distance, it is completely undamaged, even after Wells has rammed him repeatedly.
Continuity mistake: When Alex wakes up and goes to sit next to Tom, she puts her right arm around him so that her hand is hanging over his shoulder. In the next shot, her hand isn't visible even though his shoulder is and his hands are down. In the next shot, her hand is back on his shoulder and he's holding her hand.
Continuity mistake: When we get the shot of the President sitting and holding his glasses, the glasses change position in the next shot. When his back is to the camera, he's holding them so his thumb is in between the lenses and the earpieces are facing to his left. When he's facing the camera, the glasses are flipped over so that the earpieces are facing his right.
Continuity mistake: When Hannah Wells and Jason Atwood confront Brooke Mathison and she tries to fight back with her hidden pistol, Jason fires three shots at her, while Hannah fires two shots at her. However when they show Brooke Mathison again, only one shot is visible on her body. Because she was facing Jason, there should have been at least the three shots he fired at her visible. (00:39:53)
Continuity mistake: When the FBI agent is chasing down "Catalan", after crashing his car, suddenly in one shot the slide of her pistol is retracted, as if the gun is empty. Previous shots it is closed and ready to fire. Then right after showing it retracted and locked back, the very next clip she fires her gun, without doing anything about the slide.