Continuity mistake: Lorelai and Luke are having a romantic dinner in his apartment. She puts candles in the sticks at an angle, but when they return to the table the candles are straight in their holders. (00:18:00)
How Many Kropogs to Cape Cod? - S5-E20
Character mistake: On the first day of Rory's internship, she is told she needs to get an ID, to which she replies she never had an ID before, but she got an ID during her first day at Yale, which she and friends later pretended to lose to get new ones.
A Messenger, Nothing More - S5-E2
Continuity mistake: Lorelai's hair is once curly, once straightened in every other shot after she leaves her house with Rory up until she meets Luke. (00:31:45)
Continuity mistake: When Lorelai and Christopher are at the inn Georgia is with them at the table in her high chair, but in a few shots the high chair is empty despite the fact that Lorelai supposedly turns to talk to Georgia.
Visible crew/equipment: When Loralie walks out of the kitchen with a bowl of popcorn you can see the camera is slightly covered on the left side of the screen. (00:49:53)
Continuity mistake: When Rory and Paris sit down to eat cereal in the cafeteria, the table has dirty dishes on it, but when they call over the girls, the table is clear.
Norman Mailer, I'm Pregnant! - S5-E6
Continuity mistake: Sookie is telling Norman about the menu - twice during this conversation the same inn worker walks into the scene behind her with a duster in his hand.
Visible crew/equipment: When Rory comes out during the party to meet Dean, he says, "I don't belong here, not anymore, do I?" then as he says, "You look good," a boom mic drops over his head. (00:39:20)
We Got Us a Pippi Virgin - S5-E5
Continuity mistake: When they are starting Pippi and Luke is asking about her hair, you can see Dean's hand on Rory's shoulder on the side of the shot. Then it pans to them and then Dean is putting his arm around Rory.
Other mistake: Lorelai is in bed post breakup. Rory returns from running errands for her. She comes upstairs with Frank who is carrying the television. Frank puts down the television and leaves. When Rory leaves, Lorelei turns on the TV. No one plugged it in or hooked up the cable, assuming that cable is installed in her bedroom (which is extremely doubtful). Lorelai would not have been able to flip through channels as she did.
Women of Questionable Morals - S5-E11
Other mistake: When Rory goes to see her father after Strobe dies, she brings a paper bag with cookies. Christopher comments "and milk", even though the bag was creased. He couldn't see into the bag because the bag is closed.
Other mistake: Lorelei, Rory, and Luke are about to leave for Emily and Richard's wedding. Babette is on the sofa half passed out from the bachelorette party. When she hears Lorelei speak her name her head pops up to say goodbye, and she also comments that Luke looks nice. Luke is wearing a long overcoat. She could not possibly see how he looks, plus she was viewing him from behind.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.