Factual error: Air Force One landed in Wichita, Kansas. The local coroner claimed jurisdiction for Wichita County. The city of Wichita, Kansas is in Sedgwick County, in southern Kansas. Wichita County, Kansas is in western Kansas, about 250 miles from the city of Wichita.
Continuity mistake: Agent Todd is standing there coat open, hands in her pockets on Air Force One watching Gibbs walk away when the bad guy who is a reporter (Leonard) comes up to her and comments "Loosening your dress code Kate". Seconds later when she turns to indicate that he should return to the press section her coat is now buttoned up.
Factual error: While the NCIS crew are working a crime scene, Ducky starts yet another parable about his past experiences, referring to the dating of an Indian skeleton by the caliber of the bullet, "a 40-75". He states that since he knew the year that the US Army used that caliber, he could accurately date the remains. Unfortunately for Ducky, the US Army never used a 40-75. It did, however authorize a contract for a 45-70 cartridge in 1873.
Plot hole: When Gibbs discovers the body in the hotel room he is on the phone with Kate. As Kate starts to describe the man Suzanne remembered, Gibbs interrupts and describes the dead man, including his tie. The camera then pans over to show the man lying face down. There is no way Gibbs could have seen his tie.
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Character mistake: When Kate pretends to be Abby, trying to trick Ari, he deduces that she's not upon seeing her gun in its holster, and doesn't pick up on the more blatantly obvious fact that her manner of dress doesn't match Ducky's description of Abby as a Goth.
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Continuity mistake: When Gibbs arrives at the Naval base in Orlando, we see the woman in a white coat and the coat is open at the bottom (she is doing the buttons up from top to bottom) and billowing in the wind. Camera cuts and the coat is now perfectly still and closed at the bottom.
Continuity mistake: When talking to the warehouse manager, the manager has a clipboard with pink post it notes on. Watch closely and you will see the clipboard is constantly facing different directions as indicated by the pink post it notes. It some shots it's facing away from the manager, and in others it's facing the manager.
Character mistake: Ari tells Ducky and Gerald that if they lie or he suspects them of lying, he will shoot them in a ball-and-socket joint. Ari later shoots Gerald in the shoulder and mentions that next time it would be his knee. The knee is not a ball-and-socket joint. It is a hinge joint. The only other ball-and-socket joint in the human body is located in the hip. Ari is an educated Doctor and should know the difference.