Kill Me Now - S1-E3
Audio problem: When Lorelai and Rory are sitting at a table, with Rory looking at herself in a mirror, they talk about Rory's hair. Right after this, Rory asks, "do you want something to drink?" Her mouth doesn't move at all. (00:30:00)
Nick & Nora/Sid & Nancy - S2-E5
Audio problem: When Lorelai is speaking to Luke about bringing Jess into Luke's home, her "the great communicator" line still has scratch audio attached.
Audio problem: When Rory and Jess are talking in the car, there's a mismatch sound when Rory says "whatever" followed by "wherever". (00:19:00)
Help Wanted - S2-E20
Audio problem: When Rory comes home alone and listens to her mom's message, she picks up the toy rabbi and its music plays, then the music stops when Rory's in the kitchen. When Rory answers the phone we hear the music start again, meaning someone picked the toy up. (00:27:10)
Chosen answer: Lorelai and Christopher get married impulsively in Paris but they get divorced shortly after returning home. I don't know the exact number of days or weeks but they definitely weren't married for more than a couple of months.