Visible crew/equipment: When Rory is finally going back to Yale, in the scene where she and Lorelai are standing by the car debating who Paul Anka likes better, Rory gets in the car to drive away, but in the next shot of the car actually driving away, you can see what is a man's arm driving the car. (00:06:50)
Continuity mistake: Rory is wearing black gloves when she is packing up her car and finds her community service vest, but in the shot facing Lorelai as Rory hands her the vest the glove is gone, then it reappears. (00:04:45)
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.