Factual error: The kid is wearing a Texas Rangers baseball cap. The Rangers didn't come to Texas until 1972.
Factual error: There is footage of JFK addressing the Irish Parliament during his visit to that country in June 1963 ("Other people see things and say 'why?', but I dream things that never were and say 'why not?'"). It is captioned June 24 1963. It should be June 28.
Continuity mistake: There is a scene which is supposed to take place either on or about the day Kennedy was assassinated, where a boy is delivering newspapers. The newspapers have the infamous "Wanted for Treason" handbill wrapped around them. The handbill was distributed on the streets of Dallas and not as part of any newspaper.