Continuity mistake: After Houston reacquires contact with the spacecraft following re-entry, Gene Kranz sits down in his chair, obviously full of emotion. The camera then cuts to a wide shot of Mission Control before panning in on Ken Mattingly. Before the camera zeroes in on Ken, watch the top left corner of the screen and you can see Gene sit down again.
Continuity mistake: When Lovell is writing the gimbal conversions, as Haise says the computer is up, Lovell is clutching the left side of the paperwork and writing with his right hand. In the next frame with the camera closely showing the conversions, Lovell's left hand is now holding the paperwork at the bottom (the left side of the paperwork is now clear of his left hand).
Continuity mistake: In the shot of Fred and Mary Haise at the Apollo 11 lunar landing party Mary is obviously pregnant. Apollo 11 was nine months before Apollo 13 and Mary is supposedly 8 months pregnant at the launch of Apollo 13. She does not have a baby during Apollo 13 and even if she was pregnant during Apollo 11 it would not have showed yet.
Continuity mistake: While the flight director (Gene) is talking to a guy about bringing the spacecraft's power down, there is a side shot of Gene saying: "that's the deal?" now, his hands are in front of him (playing with a pen) the very next shot he has his hands by his side and the man next to him has his head in a different position (a very short time to move your arms and head like that).
Continuity mistake: When Lovell and Haise discuss their families and Haise's illness, Lovell grabs a picture of Mary from the air and comments on, while Haise is seen putting a green letter back into its envelope. It cuts to show a close-up of Haise's hands pulling the letter and the photo from the envelope as if he just opened it (which would have happened moments earlier).
Continuity mistake: When Capcon 1 and John Young are watching Haise start to play the background music they are standing near their fairly clean desks in Mission Control. About 20 seconds later, after the Haise children laugh and Lovell says there seems to have been a last-minute change in the programme, the camera shows Capcon 1 and Young now seated eating dinner. Considering the amount of junk food now laid over their area and Capcon 1 half-way through eating his burger they appear to have been eating for at least several minutes, not 20 seconds.
Continuity mistake: When Blanche is waiting for her son's broadcast to appear on TV she is seated beside two women. When she is told "this is all the channels we get" the middle woman moves her left hand to her face. In the next frame with the camera angle in front of the viewers the middle woman's left hand is at her lap.