Continuity mistake: The wound on Jack's nose is notably smaller in the scene where he and Julia are on the observation tower and when he says "How can a man die better?" compared to all other scenes.
Other mistake: When the alien drone is deciding whether to shoot or not, the screen showed that the operation system was in English. It should be in an alien language or have no language.
Suggested correction: The drones are maintained by the Techs. The Techs speak English. So the drones have an English OS (and surely no alien language, which would be traitorous to the story in the brains of Jack and Vika).
Continuity mistake: When Julia is eating soup, the colour of the soup keeps changing, from a dark yellow to a light yellow.
Plot hole: Throughout the movie we see Vika monitoring Jack through the cameras and sensors on his aircraft, however, during his entire fight with 52 she just happens to be AFK and doesn't notice that what is effectively a doppelgänger has taken out her partner and commandeered his aircraft?
Suggested correction: At that point they are outside her sensor range.
There's no evidence to support the claim that they are outside her sensor range.
Continuity mistake: During the chase with Jack and Julia, the glass door on Julia's side gets cracked by one of the drones. At the end when Jack shoots the drone, just before they eject you get a good look at the glass door next to Julia and it is undamaged in anyway.