The Lorelais' First Day at Chilton - S1-E2
Visible crew/equipment: Right before Miss Patty asks Lorelai if that was what she wore at the Chilton, there is a boom mic's pole showing at the top right corner while she is speaking to the dance class. (00:17:10)
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.