Factual error: JFK was assassinated on 22 November 1963. However, when #5 fights his older self in the parking lot, you can see what appears to be a 1965 Pontiac GTO. The car shouldn't exist for two more years. (Best view is when Luther starts reacting to having been kicked in the testicles by young #5). (00:15:21 - 00:16:36)
Factual error: Ray comments on how Diego 'beams' into his living room. That use of the term comes from the 'Star Trek' TV series, which wouldn't debut for three more years.
Factual error: As the camera pans towards the interstate after the assassination of President Kennedy the Dallas County court house and part of the county jail can be seen. Both buildings weren't built until the 1980s.