Red Light on the Wedding Night - S2-E3
Continuity mistake: When Lorelai, Rory and Max are having breakfast at Luke's, their coffee cups change from red to blue in one shot. Also Max's coffee cup goes back and forth from the left side of his paper to the right. (00:14:50)
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.
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.
Red Light on the Wedding Night - S2-E3
Continuity mistake: When Rory and Lorelai are testing cakes for the wedding at Fran's bakery, Rory is seen taking pieces out of the raspberry cake several times. However when the angle changes you can see that the cake is whole as if none of it had been eaten. (00:00:45)
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)
Back in the Saddle Again - S2-E18
Continuity mistake: When Lorelai sits down with Dean to discuss how "clingy" he is with Rory, both Lorelai and Dean's hand positions change between shots, specifically whether their fingers are laced, resting normally on the table or raised in the air.
Sadie, Sadie - S2-E1
Continuity mistake: When Richard enters to announce Rory being in the top 3% in her class his handkerchief is shown with 1 point. When he then walks to pour a drink and turns around, it has 2 points showing.
Continuity mistake: When Chris offered to make coffee, and he goes to the water stand, you can see there is already water in the coffee pot.
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)
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)
Red Light on the Wedding Night - S2-E3
Continuity mistake: When Lorelai, Max, and Rory are in the diner, just as Luke tells them that he's almost out of the blueberry pancakes and he can't make more, the regular menu which is set upright on the table suddenly becomes the "lunch" menu, and then it's back to the regular menu. This occurs well before Luke even brings Max the lunch menu because Max is taking too long to decide. (00:13:35)
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.
Lorelai's Graduation Day - S2-E21
Continuity mistake: When Emily, Lorelai and Richard are going to take the picture, Richard lifts his arm as if he is going to put it around Lorelai's shoulder. The angle changes and his hand is no longer raised. He then raises it again before finally lowering it.
Lorelai's Graduation Day - S2-E21
Continuity mistake: When Rory and Lorelai are talking in their kitchen, Rory pushes the cafetière plunger down but then over the conversation it is pictured sometimes raised, and then lowered and then raised again a few different times. (00:04:30 - 00:06:00)
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: 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.
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.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.