Continuity mistake: Towards the beginning of the movie when the F-18 is taking off to go on the recon mission, it shows a lot of different shots of an F-18 taking off. One of these shots is actually of an F-14.
Continuity mistake: When Owen Wilson parachutes through the trees, his oxygen mask goes from being on, covering his face, to being off and dangling. This repeats when he drops from his tangled chute. When he initially cuts free, his mask is over his face, then when he gets up it is off. A pilot should keep his mask on and visor down after ejecting over land to prevent injuries to his face and eyes should he wind up in the trees like Wilson did.
Continuity mistake: The SAM that's used to shot down the F-18 is a BRDM-2 mounted 9K31 Strela-1 which uses either 9M31 or 9M31M IR missiles. The missiles seen flying after the F-18 aren't either of those models.