When Sean Gunn's character "Mick" meets Miss Patty on Lorelai's front porch, they are presumably strangers; in a later episode, when "Kirk" is Taylor's new assistant manager at the store, he again is a stranger to Patty. In later episodes, Kirk and Patty have a long history as dance student and teacher respectively.
In this episode, Sean Gunn plays a character named "Mick". In the rest of the series, Sean Gunn plays "Kirk".
In Lorelai's house there is a piano against a wall where there is a doorway in later episodes. There is never a mention of either Lorelai or Rory playing piano.
When Rory is getting in the car to return home from the private school, her mother puts her bag in the back of the car. In the next shot, Rory is holding the bag and puts it in the back again.
When Luke is working on the toaster, he leaves the screwdriver in it when he goes to get the coffee. When he comes back, the screwdriver is lying on the counter beside the toaster.
After the valet scratches the guest's car, Lorelai says they'll take it to "Musky's". Later on, the mechanic shop becomes "Gypsey's".