Revealing mistake: While the ODIN agents are hallucinating, one can be seen looking into the barrel end of an MP40. If you follow him as the scene continues, the gun clips out of the sprite's visible area, and is almost entirely gone. (00:14:30)
Revealing mistake: When Chloe, Eli, Greer, and the rest of the team first go to the alien planet, you can see a car driving in the background to the left of the screen at the beginning of the shot (which wouldn't make sense considering they're on an alien planet). (00:15:40)