Luke explains to Lorelai that Buddy taught him how to run the diner when he first opened it. However, in The Ins and Outs of Inns (2001), Luke tells Lorelai that nobody helped him, he just dove in on his own.
During the town meeting Taylor and the town tell a story of a couple that dated 10 years ago and caused a rift in the town when the relationship ended. Babette says that Faye owned a flower shop and Art owned a candy store, but later in the story says that after the split Faye quit making candy, obviously confusing the two.
When Luke picks up Lorelai, she is wearing light-colored high-heeled pumps. When Lorelai sits down at Sniffy's, we can briefly see her blue flip-flops, which explains why her height changes.
When going to the town meeting, Luke tells Lorelai he never goes to these things yet in previous episodes, he goes to all of them.
When Luke's alarm goes off, it is set for 6AM. He tells Lorelai that he forgot to turn it off but in a previous episode he told Lorelai that he woke up at 530 every day.
When talking to Paris on the phone, Rory is told that Asher died two weeks prior. Later in the episode, when Rory is talking to Logan, she tells him Asher died "last week".