Visible crew/equipment: When Taylor is complaining to Luke, Rory and Lorelai about faded paint, a bright green mic dips above Luke's head. (00:04:35)
Visible crew/equipment: When Lorelai takes the ice bucket into the kitchen trying to evade Emily's questions about Luke, just as Emily tells her that Luke is always around when Lorelai's in trouble, on the glass cabinet there's a visible reflection of the boom operator moving around, while holding the boom. (00:39:10)
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.