Character mistake: In the President's speech he says that 'The Bible calls this day Armageddon'. That is not correct. In John's Revelation 16 verse 16 it says 'And he gathered them on the place which in Hebrew is called Harmageddon'. Even aside from spelling variations, Armageddon is a place, not a point in time.
Character mistake: When Sharp is teaching AJ to remote detonate the bomb, he says to "lift, press, hold" the trigger device. But the actions with the hands are actually "lift, hold, press." Even AJ repeats it wrong. (02:11:00)
Character mistake: During the scene when AJ is yelling out for any other survivors in his crashed shuttle, we hear Lev calling "A.J.", but with no Russian accent. Then Lev gets his accent back when he says "I'm here." (01:28:10)