But Not as Cute as Pushkin - S5-E10
Continuity mistake: When Paris goes to speed dating Rory tells her it's 11 at night and her hair is up, but during speed dating, her hair is down and its daylight outside.
They Shoot Gilmores, Don't They? - S3-E7
Continuity mistake: When Luke fixes Lorelai's shoe, he squeezes glue onto the broken heel and places the glue bottle down on the seat to his left, then he holds the heel to the shoe with both hands, but in the next shot that glue bottle is suddenly back in Luke's hand while he's still holding the heel to the shoe. (00:34:20)
They Shoot Gilmores, Don't They? - S3-E7
Visible crew/equipment: Before the dance marathon, when Lorelai and Rory are headed over to the first aid station they meet up with Sookie, and when Lorelai and Sookie cross the street we can see the T-marks taped to the sidewalk. (00:15:15)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai's date arrives she and Rory head downstairs, and as Lorelai tells Rory to phone with a fever if the date is a bust, the boom mic is visible in the foyer at the top of the screen. (00:25:30)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai is on the phone trying to get the name of the guy who she met at the auction, she mentions the winning lottery ticket, and as Lorelai sits down at the table the filming equipment is visible at the right side of the screen. (00:16:20)
Those Lazy-Hazy-Crazy Days - S3-E1
Visible crew/equipment: When Lorelai and Rory are on their way to the festival they stop at Sookie and Jackson's house, and as they approach the front door, the reflections of the camera operator and camera are visible on the door's window. (00:25:05)
Lorelai's Graduation Day - S2-E21
Continuity mistake: When Rory visits Jess she has a cast on her left arm from the car accident, but while Rory's on the bus returning from her trip the cast has vanished, then the cast reappears when Lorelai gets home after graduation. (00:33:15)
Continuity mistake: When Rory and Jess go for the ice cream run the rear-view mirror is missing, but when Rory tells Jess to turn right the rear-view mirror is attached to the windshield in the exterior shot. (00:25:30)
Visible crew/equipment: When Luke brings over the box of brownies for Lorelai he walks in and the front door is closed, then as they both walk away we can see the reflection of the boom pole moving on the door's glass. (00:13:25)
Back in the Saddle Again - S2-E18
Visible crew/equipment: When Rory and her classmates arrive at Richard and Emily's house Paris opens the door, and just as they reach the dining room, the two boom mics are visible at the top of the screen. Also note the huge crystal chandelier is conspicuously missing. (00:25:35)
Visible crew/equipment: At the end, when Luke walks into his apartment and passes Jess to get to the closet, we can see the reflection of the camera operator's legs in the bathroom wall mirror. (00:40:35)
The Bracebridge Dinner - S2-E10
Visible crew/equipment: During Friday night dinner, when they're discussing Emily and Richard's travel plans and then Richard's mood, in the wideshots from behind Emily lighting equipment is visible at the left side of the screen. (00:07:00)
Visible crew/equipment: While Dean is watching the play rehearsal, when Tristan starts talking about the "first kiss" in the wideshots facing Dean, we can see the boom pole moving at the top right corner of the screen. The boom pole is not part of the student production. (00:33:30)
Like Mother, Like Daughter - S2-E7
Visible crew/equipment: When the guidance counselor introduces herself to Rory during lunch she tells Rory to meet with her after lunch, and when she walks away camera equipment is visible at the bottom left corner of the screen. Then, at the end of the episode, when Lisa asks Rory if she can join her for lunch, the camera equipment is visible again before it moves. (00:06:00 - 00:43:15)
Presenting Lorelai Gilmore - S2-E6
Continuity mistake: During the presenter's introductions at the start of the ball, there's a shot of Lorelai from behind while she's seated alone at the table and we see the glistening necklace around her neck, but in the following shot facing Lorelai as she turns her head toward her parents the necklace has vanished, then she gets up and as Lorelai walks toward Emily and Richard the necklace has reappeared. (00:31:25)
Nick & Nora/Sid & Nancy - S2-E5
Continuity mistake: During dinner, when Jess takes the beer from the fridge he walks out the kitchen's back door which has a lattice wall on the porch, and when Lorelai opens the same door, in the next exterior shot she's walking out the side living room door, onto the porch. (00:26:20)
Sadie, Sadie - S2-E1
Continuity mistake: At the diner, when Lorelai stands at the counter telling Luke about Max's proposal, in the shots facing Lorelai we see the red ketchup bottle on the table behind her is either standing upright or lying on its side, changing a few times. (00:07:05)
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)
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)
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.
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.