The scene with Joe's family has the dinner table headed by his mother and father. Later, Joe tells Marilyn when they run into each other that his "folks" always ask about her, but in reality, Joe's parents died before he ever met Marilyn.
The kitchen sink in Marilyn's apartment following the Kennedy visit has plumbing fixtures of recent design, which would not have been available in 1962.
Marilyn watches John F. Kennedy's "We choose to go to the moon" speech on television, which was delivered at Rice University on September 12, 1962. However, Marilyn died just over a month earlier, on August 5, 1962.