Ballrooms and Biscotti - S4-E1
Visible crew/equipment: A mic drops into shot while Lorelai and Luke talk about luggage and the cruise. (00:34:30)
Ballrooms and Biscotti - S4-E1
Visible crew/equipment: When Sookie takes Lorelai out to the shed because Jackson doesn't want to know the sex of the baby, just as Sookie opens up the doors, we can see the hand of a crew member at the lower right side of the screen, stopping the moving door. (00:12:20)
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.