Corrected entry: In the bar scene where Daniel Craig is pouring shots for himself while speaking to Olivia Wilde, just before she reaches for his bracelet he pours a glass. A few moments later without drinking, although we see his hand raise a little for a drink, he pours another shot into the same (already full) glass. (00:18:45)
Corrected entry: Jake and Emma bail out from the alien aircraft and end up in a lake. Both have cap and ball Colt revolvers, so wet powder is a given, and yet neither possesses the equipment to extract the loads, nor replacement powder. Nevertheless, they open fire on the aliens at the spaceship.
Corrected entry: In the scene where Daniel Craig and a bearded man are attempting to throw explosives into the ship's hangar, the bearded man drops all the matches over the ledge. However, in the shot where the matches fall toward the camera, you can see one of the matches still sticking out on the ledge. This would invalidate the brief problem of not having any matches.