The diner that Ike Turner steals the tip jar from in Season 1 Episode 3 is Dyer's, a legendary diner on Beale Street Famous for fried burgers. You can tell this is dyers from the location of the bar and stove, and the red, green, and black tiling on the back wall. Dyer's is still open to the public today.
Johnny Cash sits on his bed in episode 3 of season 1, and another army officer invites him to watch a film on Folsom Prison. Following the denial of the offer, Johnny Cash ad-libs lyrics about Folsom Prison. Later in his career as a singer, Johnny Cash recorded a song called "Folsom Prison Blues."
The store where Colonel Parker pitches the idea of founding a talent agency with Hank Snow in order to take his cut of his show to pay off his debts, is a store on Beale Street called A. Shwab.
Elvis sings the song to Trixie in the Arcade Diner.