Continuity mistake: When Rex strangles Pluto, Dina, who was right by Pluto's side in the close-up, disappears in the side-on shot.
Factual error: During the fight scene on the moon outside Pluto Nash's hideout, dust can be seen floating around when kicked up. In the absence of an atmosphere and in low gravity, dust wouldn't form in clouds, but would just fly up and fall like water.
Audio problem: During the scene where the girl is talking to Pluto in the club, he tells her that he was the one that saved her father's life. She responds with "Thanks Dad" but her lips don't even move.
Continuity mistake: When Pluto meets Rex, Rex has a black tie. It changes to a red one in the next shot.
Suggested correction: There isn't a shot of him in a red tie. It's black in every shot I see. Their pocket squares are red though.
Continuity mistake: Dana's spacesuit changes color, from purple to orange like Pluto's, in the car before it blows up after the crash. After they get away, it's back to purple.