Plot hole: When Emily is dialing a number for Manny Martelli, to make arrangements for the funeral, she only dials two digits. She just got the number from someone else, so there's no way it was speed-dial.
It's Just Like Riding a Bike - S7-E19
Plot hole: The dog, Paul Anka, uses the porch steps without a blanket over them. In an earlier episode, Lorelai states that he's afraid of the porch steps when Babette tries to walk him. (00:32:50)
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.