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: In the bar scene, Gunner asks Barney Ross for a pen to write an equation on the piece of tissue. He said that the equation was Einstein's theory of special relativity, but it's actually Einstein's equation for general relativity.
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: When Sean and Hank are trying to get to the Nautilus, they swim right through a big school of jellyfish. Seems really unlikely that Sean, raised by a scientist and Hank, an ex Navy man would do this, considering how many species of jellyfish can give a sting ranging from agonizing to deadly. And, while they have a limited oxygen supply in this scene, and time is a factor, the scene shows there is room to swim under them. They actually pause in the middle of the school to grin at each other. There would have been sufficient time and oxygen to avoid the school.
Character mistake: In the scene where Carlisle returns with Alistair he asks Edward how many vampires showed up, Edward replies 18. At that point there were only 16. Vladimir and Stefan arrive a few scenes later and are part of the group assembled for battle that totals 18 of the witness vampires.