Factual error: When Marilyn is talking to NASA on the phone, the phone has a modular connector in the handset. This would be fairly impossible since AT&T did not start installing them in houses until 1976. Prior to that they would have been hardwired. (01:03:40)
Continuity mistake: The direction of the spacecraft keeps changing. After the extraction of the LM (Lunar Module), the craft is travelling with the CSM (Command/Service Module) engine bell facing forward. After the explosion, it is shown with the LM facing forward. Going around the moon, and back to earth, the CSM is again facing forward.