A review of the show mentioned a historical discrepancy:
http://www.redorbit.com/news/enterta...ies/index.html
Ah, but they made a bit of a mistake, verisimilitude-wise:
Fleetwood Mac's "Go Your Own Way" was not released as a single until late December of 1976; so it wouldn't have been playing at an Independence Day barbecue that same year. But if that's a show's biggest misstep, it's doing pretty well.