In the Clamor and the Clangor - S4-E11
Continuity mistake: When Lorelai walks into Luke's apartment, she has a doughnut in her right hand, but as she's looking around the apartment and then leaving, the doughnut is nowhere to be seen. (00:25:16)
Continuity mistake: When Rory is sitting in the theatre, on the phone to Lorelai, we see the same people walk behind her twice - the woman with white jeans on and the woman with beige trousers. (00:42:10)
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)
Continuity mistake: When Luke knocks on the kitchen door (at the back of the house) and calls Lorelai out to talk on the back porch, Lorelai grabs the doorknob to go out that door, but in the very next shot from outside Lorelai is actually walking out of the side living room door which is at the side of the house while Luke is standing there. Two completely different doors, at different sides of the house, and the back porch is not connected to the side/front porch. (00:06:10)
Continuity mistake: Kirk introduces himself as "Mick" in the second episode. From episode 3 and throughout the series his name is "Kirk."
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 Lorelai and Luke are in Luke's Diner to choose the color for the walls, Luke turns around the 'closed'-sign on the door. In this shot the venetian blind at the door is quite messed-up; partly closed, partly opened. In the following shot, where all the people are standing outside Luke's Diner looking through the windows, the venetian blind is orderly and completely opened.
Continuity mistake: In the first scene when Dean brings pizza and they are discussing about Donna Reed, in one shot Lorelai is opening the pizza box and she and Rory take a piece and start eating while they are talking. In the following shot, the piece of pizza in Lorelai's hand is gone and Rory takes a piece from the box - you can see that the pizza is complete again.
Introducing Lorelai Planetarium - S7-E8
Continuity mistake: When Lorelai and Christopher have Rory over for dinner, Rory is wearing a black sleeveless dress, but when Lorelai offers Rory the snail she cooked, we can see Rory's arm or the arm of a stand-in and this person is wearing a light blue top with sleeves. (00:11:40)
The Fundamental Things Apply - S4-E5
Continuity mistake: Lorelai is in Luke's Diner talking to Luke. Lorelai is wearing a red sweater vest over a white blouse. When Luke is behind the counter, every time the camera faces Lorelai, the left side of her blouse goes from being tucked in under the vest (as if the vest were hastily put on), to being untucked (as it should be) quite a few times.
Continuity mistake: After Rory is walking with Dean, it goes to a shot of Rory and Lorelai eating at Luke's Diner from outside. Rory is wearing a light blue sweater and Lorelai has a black shirt on. Then it goes inside the diner and Rory is wearing a dark bluish/grey sweater and Lorelai is wearing a purple shirt. The first exterior shot is used from the very last scene of the episode. (00:27:05)
Continuity mistake: Lorelai and Sookie take some containers out of the car and head towards Emily and Richard's door. When you see the next shot of them at the door, the containers Sookie is carrying are different from the ones she took out of the car, without her rearranging them.
The Incredible Sinking Lorelais - S4-E14
Continuity mistake: Dean calls Rory, and towards the end of the conversation mentions getting his first cell phone. This is false. He's had a cell phone the whole series. Paris even calls it in the season 2 episode "Can't Get Started" when Rory and Dean are at Sookie's wedding.
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.
Continuity mistake: When Lorelai and Max are on the porch talking about whether or not Max can go in, there are a few snowflakes on Lorelai's hat which disappear and reappear while they're talking.
The Lorelais' First Day at Chilton - S1-E2
Continuity mistake: Luke uses a red screwdriver trying to get something out of the toaster and leaves the screwdriver in the toaster while he goes to get coffee. When it cuts back to Lorelai, the screwdriver is on the counter, beside the toaster. (00:18:20)
The Big One - S3-E16
Continuity mistake: In 1.06 - "Rory's Birthday Parties" Paris says "Ten generations of Gellers have gone to Harvard". In this episode Paris says "Five generations of Gellers have gotten into Harvard"
The Fundamental Things Apply - S4-E5
Continuity mistake: When Rory comes into the room to answer the phone and sees Paris avoiding the call because it's her boyfriend Jamie, she empties the contents of her school bag onto the desk, including her mobile phone. Then later in the scene when Rory suggests Paris use her mobile phone to call Jamie, she pulls it out of her bag again, despite having left it on the table all but half a minute earlier.
New and Improved Lorelai - S6-E1
Continuity mistake: When Lorelai and Luke are in bed talking about having kids, the first time Luke lies down he is on a blue striped pillow, but the second time it is a light brown pillow.
Continuity mistake: During the town meeting, when Harry is talking about the Battle of Stars Hollow, in the shots facing Harry his hat is sitting on the top edge of the lectern, but in the shots from over Harry's shoulder the hat is sitting on the lectern's inner shelf. (00:01:15)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.