The trivia items below may give away important plot points.
The coffee bar where Lorelai and Max meet in this episode is the same coffee bar where they decide to take a break in "Paris is Burning". This also happens to be the same coffee bar where Lorelai breaks up with Jason in "Afterboom" when he tells her he's suing Richard. Incidentally, this was modeled after an actual coffee bar located in Hartford, CT. In the opening scene, Luke is seen in the background petting a dog at the pet fair. However, in later episodes, we learn that Luke hates dogs.
In regards to Max, Rory tells Lorelai she looks happy and Lorelai's reaponse is, "I am, kid". This is the exact same response Lorelai gives when Rory tells her in a later episode the same thing but in regards to Luke.