Continuity mistake: While Lorelai and Rory are at Luke's for a very early breakfast, when Miss Patty walks in she's wearing long earrings, but the earrings vanish and then reappear while she's telling Lorelai how badly she feels about Rory and Dean. (00:13:15)
Continuity mistake: When Babette walks through the kitchen's back door to comfort Rory, the porch is visible with its lattice wall and doorknob is to the right, but when Lorelai walks out with Babette in the exterior shot the wall has changed and the doorknob is to the left. The exterior shot looks like the area outside the side living room door, not the kitchen door. (00:19:00)
Continuity mistake: At the start, during dinner things on the sideboard move between wideshots and closeups of Rory. Fun to note: when Emily gets up and follows Richard to his seat, as Emily shouts to Siri that Mr. Gilmore is hungry, the camera pans a bit to the left and a water bottle (it's gone in Rory's closeups) has been placed on the sideboard, beside the sterling bud vase, which would cause Emily to have a fit. Obviously one of the actors or the crew left it there.
Continuity mistake: At Luke's, when Rachel shows Lorelai the photo of the Dragonfly Inn, Rachel says, "It's an old abandoned inn I ran across when I was exploring the other day." So Rachel took the photograph in the last few days, and in the photo the Dragonfly does not have shutters, and does not have a sign hanging over the porch, etc. When Lorelai visits the Dragonfly with Rachel and then with Rory, the shutters and sign have appeared, as well as other changes. (00:04:50 - 00:40:20)
Visible crew/equipment: When Lorelai talks to Emily at the Independence Inn, a boom mic briefly drops into the shot. (00:21:25)
Visible crew/equipment: While Lorelai and Luke are in the diner's storeroom, just as Lorelai makes a comment about not knowing what's going on in Rachel's head because she's not a Vulcan, the boom mic dips into view over the white container on the top shelf, at the top right side of the screen. (00:30:00)
Other mistake: Rory asks Emily for baby pictures of Lorelai, but Emily says Lorelai burned them all because she had such a big head when she was little. But in "Love and War and Snow" earlier in the season, Emily, Richard and Rory looked at a baby picture of Lorelai in a bunch of petticoats the night Rory stayed over with her grandparents during a snowstorm.
Other mistake: While Luke and Lorelai are talking about Rachel in the storage room, after Lorelai places some jars on the shelf, the jars on the shelf behind Lorelai turn, change position or vanish, between shots.
Continuity mistake: Lorelai and Luke are talking in the storage room. The turkey gravy behind Luke keeps rearranging itself.
Visible crew/equipment: When Paris drops her book on the floor in English class, to jolt Rory out of her daydream stupor, a boom mic is visible above Liza Weil's head. (00:16:45)
Love, Daisies and Troubadours - S1-E21
Continuity mistake: When Lorelai tries to remember the name of the guy who used to run the auto-body shop, she opens the kitchen's back door in the interior shot, but in the next exterior shot Lorelai is walking out of the side living room door, with the window beside it. (00:06:15)
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.