Gene Kranz: I don't care about what anything was *designed* to do. I care about what it *can* do.
When Lovell's daughter is complaining that the Beatles have broken up, she slams the album Let It Be into her rack. The scene takes place on the day of the initial explosion aboard Apollo 13, April 13 1970 - immediately prior to the Lovell family attending the screening of a television broadcast from the spacecraft. Let It Be was not released as an album until May 9th, 1970.
The Captain of the Iwo-Jima that Tom Hanks is talking to at the end of the movie is the real Jim Lovell.