Character mistake: There is no way an operative of Q's position and experience would have plugged a device taken from a bad guy into their network. Especially as they had had a security hack only a few days earlier, and this was a security establishment. It would have been thoroughly tested and checked on a stand-alone, air-gapped setup first.
Character mistake: As Bruce Wayne is researching the jewel thief, the word "Heist" is spelled "Hiest" in a newspaper headline. (00:15:45)
Character mistake: Dan is supposedly such an expert in Pakistan, but he hands Ammar the cigarette pack with his left hand (unclean to Muslims, and therefore not much of a gesture of hospitality).
Character mistake: When Katniss is trying to destroy the supply pile, we see a close up of her drawing back on the her bow. We see she has the arrow to the left of the grip, meaning the fletchings (feathers at the end by the string) have to be facing to the left. Otherwise the fletchings will hit the grip, rip off, and make the arrow unstable in flight and go completely off course. However, the fletchings are are facing to the right and so will hit the grip. Any archer or anyone who is skilled with a bow would know this. (01:32:45)
Character mistake: When looking at the various items in his safe deposit box, one of the passports has the name Henry Reed. However the serial at the bottom of the passport is mistyped as REED/HENTY. (00:41:25)
Character mistake: In the scene where the news helicopter comes in close to the building and causes high winds that almost blow 'Joe Walker' off the ledge, Detective Lydia Mercer calls him "Nick". She doesn't know his real name at this point. (00:38:30)
Character mistake: In the closing credits, as the camera pans across the Star Wars figures on the shelf, you can see the sandperson figure is in the spot labelled Jawa and vice versa for the actual Jawa. (01:50:15)
Character mistake: In the news article where it shows how his daughter died, daughter is spelled "Daugher".
Character mistake: When Michael goes to the antique shop, the sign out front is spelled wrong; it reads "anitques."