Other mistake: When Captain Collins climbs out of the water after falling in, her tank top is completely dry. (01:22:00)
Revealing mistake: Corporal Shah is tied and on a chair in the command center. He then receives a powerful blow to his left check, knocking him sideways and rendering him unconscious. But his glasses do not even move a millimeter.
Factual error: The nuclear missiles are shown in flight numerous times. They're travelling horizontally, and have their rocket motors on. Except that long range nuclear missiles are ballistic, and follow a curved path to and from space. And their rocket motors are on only for the thrust phase of the flight, and not halfway to the target.
Other mistake: When the SEAL helo is shown taking off, the American flag flying has 51 stars.
Continuity mistake: When Captain Collins sits down at the computer console early in the film, the mouthpiece on her headset constantly changes position.
