Continuity mistake: The dog the boys were trying to catch was facing the fence with his nose very close to it. After one of the boys threw a blanket (or piece of material) over the dog, the dog was facing them instead of the fence. Also, the dog was not as close to the fence and the background didn't appear to be the same. (00:06:07)
Factual error: When the high-ups at the Pentagon are looking at the profiles of the terrorists, Ulrika's profile contains a minor spelling mistake ("Americas" instead of the possessive form), but the fun is in her henchman's file. The guy is named "Grigori Babishkova", which is laughable since "-ova" is the female suffix for Slavic last names, he should be "Babishkov." The Nationality field lists him as being "Russian/Caucasian." Caucasian is not a 'nationality'. (00:05:05)
Revealing mistake: About seven minutes in, during the scene where we see Cooper helping the Nerd as a cameraman, you can tell that Cooper has been added to the scene using green-screen effects, as the actor was unavailable to shoot at the location. The lighting on Cooper doesn't quite match the lighting of the scene, and you can see a slight "blur/feathering effect" around him where the greenscreen background was removed.