Those Lazy-Hazy-Crazy Days - S3-E1
Continuity mistake: In the first shot you can see Rory's laptop open in the background, but when she walks over to her desk and sits down, it's closed. (00:02:15 - 00:04:45)
Those Lazy-Hazy-Crazy Days - S3-E1
Visible crew/equipment: When Lorelai and Rory are on their way to the festival they stop at Sookie and Jackson's house, and as they approach the front door, the reflections of the camera operator and camera are visible on the door's window. (00:25:05)
Those Lazy-Hazy-Crazy Days - S3-E1
Continuity mistake: After Luke and "Mimi" talk at the diner Lorelai comes home, and while she and Rory sit on the couch note the open window behind them, with a clown pillow in front of it and the porch chair on the other side, but when Lorelai asks for her purse because she's hungry it cuts to the exterior shot, and nothing is blocking the view through that window. (00:41:00 - 00:43:00)
Haunted Leg - S3-E2
Visible crew/equipment: After Emily tells the new maid it would wonderful to remember the difference between the bells, as Emily, Lorelai, and Rory walk away from the front door, the white, red, yellow, and green tape marks are visible on the floor behind them. (00:32:00)
Haunted Leg - S3-E2
Visible crew/equipment: After Lorelai and Rory meet Emily's new maid, when they walk into the living room the T-mark is visible on the floor where Emily stands. (00:32:05)
Haunted Leg - S3-E2
Visible crew/equipment: When the new maid tells Emily the dinner is ready even though it's only 6:30, Emily concedes and they all head to the dining room, and just as Emily says they all can be in bed by 9:00, we can see the boom pole and mic in the living room behind them, at the top of the screen. (00:33:20)
Haunted Leg - S3-E2
Visible crew/equipment: Rory gets dragged in the bathroom to discuss hem lines and the entire time the mic guy can be seen in the shadow on the wall behind her.
One's Got Class and the Other One Dyes - S3-E4
Continuity mistake: When Lane and the band are arguing in the music shop and Dave ushers Lane to go outside to talk, she picks up her jacket on the way out the door. When she gets outside, though, she has no jacket. (00:09:00)
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out of band practice you can see part of the mic guy's body and elbow at the right side.
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out there is a crew member watching the scene from the doorway of the back room and then she quickly ducks back inside.
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai is on the phone trying to get the name of the guy who she met at the auction, she mentions the winning lottery ticket, and as Lorelai sits down at the table the filming equipment is visible at the right side of the screen. (00:16:20)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai's date arrives she and Rory head downstairs, and as Lorelai tells Rory to phone with a fever if the date is a bust, the boom mic is visible in the foyer at the top of the screen. (00:25:30)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Emily gives Lorelai and Rory their drinks she mentions the cheese and walks away, then when Lorelai sits on the sofa the green tape marks are visible on the floor, where Emily had been standing by the bar. (00:40:20)
Take the Deviled Eggs... - S3-E6
Continuity mistake: As Lorelai sits in the car talking to Sherry about attending the baby shower, her seatbelt keeps changing from on or off during the entire scene.
Take the Deviled Eggs... - S3-E6
Continuity mistake: During the baby shower while Lorelai and Sherry are talking alone at the food table, all the contents on Sherry's plate keep changing.
They Shoot Gilmores, Don't They? - S3-E7
Visible crew/equipment: Before the dance marathon, when Lorelai and Rory are headed over to the first aid station they meet up with Sookie, and when Lorelai and Sookie cross the street we can see the T-marks taped to the sidewalk. (00:15:15)
They Shoot Gilmores, Don't They? - S3-E7
Continuity mistake: When Luke fixes Lorelai's shoe, he squeezes glue onto the broken heel and places the glue bottle down on the seat to his left, then he holds the heel to the shoe with both hands, but in the next shot that glue bottle is suddenly back in Luke's hand while he's still holding the heel to the shoe. (00:34:20)
They Shoot Gilmores, Don't They? - S3-E7
Visible crew/equipment: After Luke fixes Lorelai's broken heel it cuts to Lane at the first-aid/rest stop at Miss Patty's, and when Lane walks toward her table, we can see the T-marks taped to the floor. (00:35:10)
They Shoot Gilmores, Don't They? - S3-E7
Continuity mistake: During the dance marathon while Luke is fixing Lorelai's shoe, Taylor can be seen on the podium in the background changing from standing to sleeping over and over.
Visible crew/equipment: After Luke catches Rory and Jess together Rory rushes out, and while Luke is lying down all the ground rules for Jess, the T-mark is visible on the floor near the door. (00:16:15)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.