Factual error: When a young Steve Mills is struggling for conversation topics with Lisa in 1962, he comments that her black eye makes her look like the Tareyton commercial. However, those "I'd rather fight than switch" ads weren't aired until late 1964.
Deliberate mistake: In the ambulance scenes, John Goodman is given oxygen via a nasal tube, probably so he could tell his story. In real life, a mask covering the nose and mouth would be used for maximum effectiveness in such a critical situation.