Red Light on the Wedding Night - S2-E3
Visible crew/equipment: When Lorelai is talking to Babette about her shower in front of Luke's there is an audio guy crouched down hiding behind her in two shots. You can see his headphones. (00:22:55)
The Road Trip to Harvard - S2-E4
Continuity mistake: When Lorelai returns to Stars Hollow she goes to Luke's, and as she takes a seat at the counter there's a glass domed cake platter (with what looks like pie) at the end of the counter, which promptly vanishes in the following shots. Also, the blue box of wax paper sheets moves to the opposite side of the hot cups on the counter, between shots. (00:37:55)
The Road Trip to Harvard - S2-E4
Continuity mistake: When Luke offers Lorelai coffee, Luke grabs two paper hot cups, but the camera angle shifts and he is holding only one cup, then the angle shifts again and he is back to having two cups while he proceeds to pour the coffee. (00:38:10)
The Road Trip to Harvard - S2-E4
Continuity mistake: When Rory tells Lane about what she saw at Harvard, she comments, "where I might live next year." But earlier, Rory says that she's still two years away from Harvard.
The Road Trip to Harvard - S2-E4
Continuity mistake: Before Lorelei leaves the diner at the end, there is a dirty coffee mug at the end of Luke's counter, but when she leaves, the mug is gone.
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)
Nick & Nora/Sid & Nancy - S2-E5
Audio problem: When Lorelai is speaking to Luke about bringing Jess into Luke's home, her "the great communicator" line still has scratch audio attached.
Nick & Nora/Sid & Nancy - S2-E5
Continuity mistake: When Rory interviews Max, in each shot the pens on his desk in the cup keep rearranging.
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)
Presenting Lorelai Gilmore - S2-E6
Continuity mistake: When Lorelai calls Chris to tell him about Rory's debut, she writes his new number on a gum wrapper. The shot changes to Rory. When it cuts to Lorelai again, she is reading the number from a notebook.
Presenting Lorelai Gilmore - S2-E6
Other mistake: Dean leaves the house the night before the debutante ball. He says goodbye and leaves the room but he never leaves the house. He never is seen going into the foyer and the door doesn't close.
Presenting Lorelai Gilmore - S2-E6
Continuity mistake: When Christopher comes to the house and they are all outside talking, there is no garage on the side of the house. Only gates. In later episodes there is a garage.
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)
Like Mother, Like Daughter - S2-E7
Visible crew/equipment: After the Mrs. Backward baseball cap line Lorelai goes to leave. Luke says "and by the way" and there is a camera part showing in the top left corner. (00:42:15)
Like Mother, Like Daughter - S2-E7
Continuity mistake: When Mr. Charleston is looking at Lorelei's parent file, he closes it and starts talking and in the next shot he is seen closing it again.
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)
Continuity mistake: Lorelei's casual date brings his parents into Luke's and even though the windows are covered and you can't see outside, the cash register is at the wrong end of the counter.
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)
The Bracebridge Dinner - S2-E10
Continuity mistake: When Dean and Clara first arrive at the Inn and are shown talking to Rory, Luke and Jess arrive in the background and Luke removes his jacket. In the next shot his jacket is back on and he removes it again.
The Bracebridge Dinner - S2-E10
Visible crew/equipment: During The Bracebridge Dinner, the entire time Richard is talking, each time they cut to Lorelei there is a mic on the right side of the screen which goes on for about six shots.
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.