Forgiveness and Stuff - S1-E10
Visible crew/equipment: When Lorelai and Dean are talking through Rory's open window, Lorelai tells Dean that they have a nice front door he might want to use, and when Dean walks away the moving boom pole is visible through the top of the glass window, in front of the lattice. (00:13:35)
Other mistake: After Lane goes home, when Rory watches her mom talking to Max note the short window over the kitchen sink behind Rory (not the tall window on the same wall). In the next shot, from outside that short window, we see Rory pull the photo strip out of her pocket then proceed to walk to that window and stand directly in front of it. The problem is there should be a sink and cabinets under that window blocking Rory from standing beside the window. (00:43:05)
Continuity mistake: When Rory comes home from her grandparents and talks to Lorelai about Max sleeping on the couch, into the kitchen and the red-white step stool chair is beside Rory's bedroom door, but when she and Lorelai walk into the kitchen it's gone, then it reappears after Lane leaves. (00:39:45)
Visible crew/equipment: After Rory asks Lane if Rich still wears the Star Trek shirt, when it cuts to Sookie in the kitchen, we can see two T-marks taped to the floor behind her. (00:08:40)
Visible crew/equipment: In the last shot, when Rory starts telling Lorelai all about the market kiss with Dean, some lighting equipment becomes visible at the right side of the screen, as the camera pulls back. (00:43:20)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Emily raves about Sookie's hors d'oeuvres, the shadow of the boom mic is bobbing around at the top of the screen. (00:35:10)
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Lorelai gets home while Rory is on the phone, just as Lorelai jokes about Justin and Britney, filming equipment is visible at the left side of the screen. (00:06:35)
Kill Me Now - S1-E3
Visible crew/equipment: When Lorelai and Emily have a private chat about Rory playing golf with Richard, Lorelai tells her, "You win," and as Emily walks out of the room, the lighting equipment is visible at the left side of the screen. (00:06:00)
The Lorelais' First Day at Chilton - S1-E2
Continuity mistake: When Lorelai drives Rory to Chilton, the license plate at the front of her Jeep goes from being attached to the center of the bumper, to the side of the bumper, then back to the center of the bumper. Additionally, the Jeep's rearview mirror has vanished when they're parked at Chilton. (00:03:25)
Visible crew/equipment: At the Kim house, when Lane and Rory reach the kitchen doorway, just as Mrs. Kim tells Lane that she has "muffins with no dairy, no sugar, no wheat," the boom pole dips into view at the top right corner of the screen. (00:11:35)
I'm a Kayak, Hear Me Roar - S7-E15
Continuity mistake: When Lorelai picks up Rory and they head off on a drive there is no rearview mirror on the Jeep's windshield, but when they run out of gas and start their walk, a rearview mirror suddenly appears.
Visible crew/equipment: When April shows up at the diner, we can see the reflection of the moving boom pole and mic at the top of the window, behind Luke. (00:14:00)
Introducing Lorelai Planetarium - S7-E8
Continuity mistake: When April and Luke are discussing Sabrina's party, the salt shaker and pepper mill switch places on the table, before April moves them to represent boys and girls. (00:09:40)
Ballrooms and Biscotti - S4-E1
Visible crew/equipment: A mic drops into shot while Lorelai and Luke talk about luggage and the cruise. (00:34:30)
Continuity mistake: Rory is wearing black gloves when she is packing up her car and finds her community service vest, but in the shot facing Lorelai as Rory hands her the vest the glove is gone, then it reappears. (00:04:45)
Visible crew/equipment: When Paris calls Rory while she's at the DAR office with Emily, in the shot of Paris as she walks away from the coffee cart toward the bench, a yellow tape mark is visible on the ground in front of the bench where Paris will sit. (00:13:40)
A House Is Not a Home - S5-E22
Visible crew/equipment: When Mrs. Kim calls Gill over to look at his van, he tells her it's not big enough for a tour van, and two tape marks are visible on the ground - one where Lane stands and one where Mrs. Kim stands. (00:37:05)
Visible crew/equipment: During the Dragonfly's staff meeting, when Michel stands up and announces, "We have a problem with some honor bar discrepancies," the T-mark is visible on the floor between Michel and Lorelai. (00:06:30)
Visible crew/equipment: When Lorelai and Christopher are at the Dragonfly looking at the lunch menu, filming equipment (looks like the second camera) is visible at the left side of the screen, and it's visible again when Lorelai describes Michel and the bathrobe bandits. (00:22:15)
Visible crew/equipment: After Emily asks Lorelai to help her with dating etiquette, when Lorelai and Rory leave the house some filming equipment is visible at the top left side of the screen. (00:20:20)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.