Music store owner, Sophie Bloom, is played by Carole King who also wrote and sang the show's theme song.
When Lorelai lies about Rory missing Friday night dinner, saying Rory has the flu, Emily says, "Horrible strain; Bunny Carlington Munchausen has been bedridden for two straight weeks." Munchausen Syndrome is a mental disorder in which the patient continuously feigns illness.
Richard mentions Radar from M*A*S*H (1972) in this episode, Edward Hermann starred in an episode of M*A*S*H in 1980.
Luke offers Rory a doughnut when he opens the diner after being closed for about a week. Considering that Lorelei told her mother Rory's fractured wrist happened "last week," those doughnuts would no longer be edible.