Factual error: In the opening sequence just before Minute 1, after the asteroid is reported to have hit Hamburg (Germany), it is shown in red how the mimics spread through Europe. But wrongly this spreading is originating from the center of Europe (somewhere in Austria) rather than in Hamburg (on the far north of Germany). You can even see in the next shot how it spreads from Austria to Germany, Czech Republic, Slovakia and Hungary, which makes no sense if the origin is supposed to be the far north of Germany. (00:00:55)
Other mistake: In the landing scene inside the dropship there is a release valve for all the mechanical suits. No one seems to use this valve to get released, they all just drop spontaneously. Except for Cage, who has to hit the valve every time in order to get released. (00:18:50 - 00:33:04)
Suggested correction: They all wait until they are released automatically. Probably deploys at a certain distance from the beach.
I'm not sure this answers the mistake. There's no apparent reason for deployment to be automatic for everyone except Cage. It could be argued that everyone else knew to select "automatic drop," but Cage didn't. However, since that's not covered in the film, it can't be used to explain what happened.
Well, I said it's automatic for them, but it doesn't really have to be. They all know how it works, and he doesn't. They probably have a different method of releasing since their suit is unlocked and they know the system, whilst the red valve next to their head is probably an extra safety measure. He uses it over and over again because it seems to work, whilst it is possible the normal release on his suit doesn't.
Other mistake: When Rita hits Cage's leg with the transponder (that needle machine) during the chase in the garage and time gets slower we can see she is turning the steering wheel to the right, but the wheels are still turned to the left.