Character mistake: The Eagle Koenig flies is called Eagle One. However, the number on the door behind him is plainly a four, meaning Eagle Four.
Suggested correction: This happens a lot. The number on the door is not the number of the Eagle, it's the number of the command module. The super structure and drive systems are Eagle One. Even then, there has been several Eagle Ones destroyed or lost. Eagle One is assigned its designation by the head of Recon, Alan Carter.
Continuity mistake: As the scene in Main Control gets blurrier as Koenig spins around, the part in his hair is first on the left, then on the right, then back on the left.
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.