Deliberate mistake: The angle of the footage of the Air Force jet (from inside the 747's passengers' viewpoint) observing the 747's damage shows the Air Force jet would be flying away from the 747 instead of flying exactly parallel as the outside footage shows.
Deliberate mistake: For the sake of the movie's plot and tempo, all the guests manage to breathe and stroll around quite calmly for several minutes despite the heavy smoke, when in real life they would be blinded and choking.