When Buck, Wilma, and Hawk get trapped in the reactor room trying to escape the ship, there are several continuity errors. Hawk's gun appears and disappears from its holster. After opening door to the empty chamber his gun disappears and doesn't reappear until back in the hallway. When Buck tells them to "move move" for the canon, Hawk is right next to them, then he is completely out of the shot. When Buck hits the floor, debris is already there.
Dr. Goodfellow spells the planet name as "Deeth", but pronounces it as "Vor"-"Deeth" which is how Buck also pronounces it.
When Buck, Wilma, and Hawk are met by the real Lieutenant Parsons outside the reactor room, Buck says "It was Reardon." He then turns around to unlock the reactor room door, as he delivers the next line, "He changed himself to look like Parsons." As he finishes the line, his face can be seen in profile, and his mouth is clearly not moving, indicating the line was dubbed in after filming.
At 38:56 a light on a tripod is visible on the right side in the wide shot when Buck steps up to stand next to The Hand of the Goral. It is visible again at 39:53.
In the hangar bay of the fake Searcher, Buck says, "Parsons is acting like a two-bit tyrant", but Parsons doesn't speak during the scene other than to call the crew to attention. It's Asimov who accuses crew members of treason.