The scene where Jake follows George de Mohrenschildt to a JFK campaign speech utilized actual audio from the speech JFK gave that day, in that location. The speech and location was heavily photographed in 1960, and was recreated near perfectly.
The opening credits changed slightly every week, reflecting Jake's changes to the time line and/or foreshadowing events in the episode.
The story that Jake tells Mimi is taken from the films The Godfather Part II (1974) and The Godfather Part III (1990).
In the Stephen King novel which serves as the basis for the TV show, the main character travels back to 1958. In the show the rabbit hole takes him to 1960.
During the opening credits of some, but not all episodes, a diagram of a serpant eating its own tail is shown in yellow with a black background. This symbol is known as the ouroboros. The ouroboros has several meanings interwoven into it. Foremost is the symbolism of the serpent biting, devouring, or eating its own tail. This symbolizes the cyclic Nature of the Universe: creation out of destruction, Life out of Death.