Ted Koppel's Big Night Out - S4-E9
Factual error: Lorelei and Jason go to dinner after the Yale vs Harvard game. When the dinner is a bust, they go to the supermarket. Wine bottles can be seen as they enter the supermarket. Hard liquor and wine are not sold in supermarkets in Connecticut. Up until a few years ago, alcohol could not be purchased on Sunday or after 9 PM.
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.