In episode 7 Jake and Sadie steal a car, and Jake says 'I'll hot-wire it' which he then does. However when this scene is shown as a recap at the beginning of episode 8 Jake says 'I'll jump start it'.
Throughout the series, Lee Harvey Oswald is portrayed speaking with a presumably Russian accent. However, Oswald was born in New Orleans and spoke with a Southern accent throughout his life, even after he returned tom the United States in 1962 with his Russian-born wife, Marina.
Highways are shown with modern yellow lines and markings. Prior to 1971 US highway lines were white.
By the early 1960s, the majority of cars/trucks of the 1940s, and even early 1950s, would not have been in such pristine condition. This observation applies to each episode.