Double Date - S1-E12
Visible crew/equipment: Where Lorelai walks into the inn's kitchen she pours herself a cup of coffee, and as she walks toward Sookie we can see the red T-mark taped to the floor where she had been standing. (00:06:45)
Double Date - S1-E12
Visible crew/equipment: While Lane is trying to chat with Todd during the Double Date, when she asks if he likes Fugazi he tells her it's his sister's T-shirt, and just as Lane answers, "Oh," the boom mic dips a bit into view over Lane, at the top of the screen. (00:23:10)
Double Date - S1-E12
Other mistake: When Rory and Lane get caught at the movies, Lorelai said she will not lie to Mrs. Kim because she has to respect that Mrs. Kim doesn't want Lane to do something. In reality, Lane is allowed to do things Mrs. Kim would not approve of all the time i.e. Listening to ungodly music, eating pizza, wearing different clothes.
Visible crew/equipment: While Rory has the girls over to work on the debate, when Lorelai and Rory walk into the living room with the Pop-Tarts, just as Lorelai tells them about going to the Bangles concert we can see filming equipment at the left side of the screen. (00:23:45)
Visible crew/equipment: At the Bangles concert, when Rory says they have amazing seats, just as Louise replies, "Yes, they are," the boom mic dips into view over Louise's head, at the top of the screen. (00:25:50)
Visible crew/equipment: When Taylor is complaining to Luke, Rory and Lorelai about faded paint, a bright green mic dips above Luke's head. (00:04:35)
Visible crew/equipment: When Lorelai takes the ice bucket into the kitchen trying to evade Emily's questions about Luke, just as Emily tells her that Luke is always around when Lorelai's in trouble, on the glass cabinet there's a visible reflection of the boom operator moving around, while holding the boom. (00:39:10)
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.
Continuity mistake: Dean takes out his salad box when they sit and watch the Donna Reed show, but he doesn't open it. In the next shot it is open, and in the next shot again, a salad leaf is at his fork, without touching it.
Continuity mistake: While Kirk asks Luke if he is really painting the diner, Luke adds napkins and closes the to-go box twice.
Visible crew/equipment: When Lorelai argues with Richard in his study, nothing gets resolved and Richard says that he's tired, then in the last shot of Lorelai we can see a crew member's fingers holding equipment, at the right side of the screen. (00:25:55)
Visible crew/equipment: When Luke is waiting for Lorelai to show up and paint, a crew member, camera, and boom mic are reflected in the window next to him. (00:29:45)
Other mistake: When Christopher shows up, he says "tomorrow is Saturday." Wouldn't the girls be at Friday night dinner? Not ordering pizza?
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: When Rory asks Lorelai to call Emily to get her out of Friday night dinner so she can celebrate her and Dean's 3-month anniversary, a boom mic drops into the shot as Lorelai stands to get the phone. (00:07:05)
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: While Patty and Taylor argue about the fire and Stars Hollow, there's a mic dip over Lorelai's head right before Luke says "she's bi-polar. And again when Patty says "she is?" (00:13:25)
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: While Lorelai helps her daughter get ready Rory holds up the two sweaters on hangers, and in the shot facing Lorelai as she tells Rory not to clash with the decor, lighting equipment is visible at the right side of the screen. (00:17:50)
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: During Friday night dinner, after Emily suggests brandy in the living room Lorelai excuses herself, and when she stands up in the wideshot the boom operator is visible at the left side of the screen. (00:31:25)
Visible crew/equipment: When Lorelai and Rory are in the kitchen talking about the to-do list, the camera is visible in the reflection on the microwave. You can see the cameraman's hand rotating the control to move the camera as Lorelai sits down. (00:07:20)
Visible crew/equipment: When Lorelai and Rory are trying to get to Luke's they wind up in the alley, and in the next shot inside Luke's we can see the reflection of the moving camera on the glass door, behind the guy wearing a blue check flannel vest. (00:11:50)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.