Character mistake: An air marshal would not give such leeway to someone detained for such disruption. The person would be detained and immediately routed to the nearest airport for investigation or arrest.
Factual error: Near the end when the plane lands, we see the front wheels touch down first instead of the rear wheels. A pilot would never land like that unless it was absolutely unavoidable, as it would more than likely result in a major incident.
Plot hole: Along with the $50 million, one of "Kyle's demands" from Carson is that the FBI provide "her" with a Gulfstream III plane, which is presumably which he plans to escape on. This is actually the stupidest mistake he might have made. If his plan had succeeded in framing Kyle and having her holding the detonator in her hand dead, he wouldn't just allowed to leave like that, mostly because with the threat over the plane would have been withdrawn. His $50 million might have been withdrawn too, if his account wasn't protected.
Plot hole: Carson states to the captain that Kyle is a "hijacker" and is threatening to blow up the plane unless they transfer $50 million to an account (which we don't see.) He also tells the captain that she refuses to negotiate, and to agree to the ransom without speaking to her. In the next scene, Carson receives a call from the captain that the money has been transferred. Law enforcement would never agree to a ransom demand without talking or knowing who the so-called hijacker is. When Kyle later looks outside the plane, she sees bomb squad and law enforcement treating her as the hijacker. There is no proof or evidence that Carson has given that Kyle is a hijacker, nor is there a background check or identity on her. Law enforcement would have never treated this so seriously as they did at the end, nor would bomb squad have had the time to make it, as mentioned in another mistake.
Suggested correction: There is no reason the captain shouldn't trust Carson. Even if Carson has no evidence, the fact that Kyle would use her daughter as a charade, that she seemed very frantic, and would sabotage the aircraft's systems to obtain and plant the explosives would probably be deemed credible enough to the captain that she is in fact a hijacker.
The entry is referring to the conversation where Carson tells the captain that Kyle is a hijacker. Kyle seeming frantic alone wouldn't count to the captain that Kyle is a hijackers unless she showed other signs of being a hijacker. And Kyle didn't use her daughter as a charade, or sabotage the aircraft's systems to obtain, and plant the explosives until long after the conversation where Carson tells the captain that Kyle is a hijacker so Carson would have needed to provide evidence that Kyle is a hijacker during the conversation. And the captain would have questioned the detonator, and other specifics.
Plot hole: The hijackers somehow know who Kyle is, and what her job is, and what kind of family she has even though Kyle doesn't appear to have known them prior to meeting them on the plane. The only time she met the morgue director was at the beginning of the movie when she went to see her husband's body before deciding to board the plane, so there is no way they could have known who Kyle was, and that she had a husband, and an only child, for a whole host of reasons. Firstly, the information about passenger plane designers is protected by very tight security to keep people from having access to to it. Secondly, passenger plane designers are secretive people who don't speak publicity about their jobs. Thirdly, passenger plane designers rarely interact with Air Marshals, and flight attendants, as they all work in different places. These three reasons I mentioned are to keep people from learning about avionics engineers, and their families in order to prevent the exact thing the hijackers were the trying to do - framing an avionics engineer.
Factual error: Human remains, while sealed in a casket, are always transported in a protective box. This box, usually cardboard, has "human remains" placards all over it.
Other mistake: When Kyle enters the bathroom to climb up in the room above it to mess with the wires, she locks the door. Yet the door opens for Carson to check it.
Suggested correction: Actually, she escaped so that's why the door is now unlocked.
Suggested correction: Lavatory doors can easily be unlocked/opened by flight crew.
Visible crew/equipment: When Kyle is in the bathroom, she goes up to the holds and you can see set lights at the very bottom of the attic door.
