Meg Pryor has an argument with Luke Foley, the cashier at the Vinyl Crocodile record store. Meg is furious because Luke has substituted the Angels 45 that she originally purchased with a Bob Dylan 45. She says to Luke that Dylan's lyrics are not enjoyable, referring to his song "Mr. Tambourine Man." Luke later gives Meg the Dylan 45 of "Mr. Tambourine Man," which she listens to at home.
Except that Mr. Tambourine Man was written two years after the December 1963 timeline; it was never commercially released by Dylan on a 45 (the Byrds did have a hit with it, though), and the record on Meg's turntable had a purplish label; Dylan's Columbia 45's were red labels with black print. Granted, Bob Dylan's second album, "The Freewheelin' Bob Dylan," was released in 1963, and any track from that LP (including the eventual 45, "Blowin' In The Wind") would have made timeline sense in that episode.