Other mistake: As the camera pans around to look in the cockpit, the wound on Koenig's head is easily seen as a bad blending job. The edges of the prosthetic are visible.
Other mistake: In the beginning, the Eagle was moving away from the alien planet, and as such, should have crash landed facing away from the planet. However, it was facing the direction it came from. If it traveled a fairly straight line, (and the trajectory suggests it did) then it should have crashed with the rear end facing the planet.