Visible crew/equipment: When Lorelai and Rory are trying to get to Luke's they wind up in the alley, and in the next shot inside Luke's we can see the reflection of the moving camera on the glass door, behind the guy wearing a blue check flannel vest. (00:11:50)
Visible crew/equipment: When Lorelai and Rory are in the kitchen talking about the to-do list, the camera is visible in the reflection on the microwave. You can see the cameraman's hand rotating the control to move the camera as Lorelai sits down. (00:07:20)
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.