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)
The Road Trip to Harvard - S2-E4
Continuity mistake: Before Lorelei leaves the diner at the end, there is a dirty coffee mug at the end of Luke's counter, but when she leaves, the mug is gone.
Continuity mistake: When Lorelai and Luke are talking in bed she is wearing a robe. It goes from on to off her shoulder with each shot.
Welcome to the Dollhouse - S6-E6
Continuity mistake: In this episode, the town voted to change the street names to old timey names. In future episodes, the other names were used. "Peach" was referred to at least twice.
Forgiveness and Stuff - S1-E10
Continuity mistake: When Miss Patty finds Rory and Dean asleep, they are asleep face to face. In a subsequent shot they are lying on their sides, Dean behind her.
Continuity mistake: There is no building next to Luke's in the pilot, but in subsequent episodes there is one, which he buys.
Continuity mistake: When Lane unpacks the groceries Zack has brought, she takes out the bananas and then the apples, twice in a row.
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.
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.
Continuity mistake: When Lorelai enters the kitchen and sees Rory cooking the juicer is visible, but in the next shot you see Rory go to the drawer and get it. (00:25:24)
Just Like Gwen and Gavin - S6-E12
Continuity mistake: April tells Lorelei her dad owns the place and she puts the box of rice down, but when April tells Luke that Lorelei said she wasn't a strangler she puts the box down again.
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.
Continuity mistake: Right before Lorelai goes outside of the Dragonfly to talk to Jason you can see she is standing behind a desk, then later Michel says that he is sick of sitting on the floor and wonders when the desk is coming.
Continuity mistake: While Kirk asks Luke if he is really painting the diner, Luke adds napkins and closes the to-go box twice.
Continuity mistake: During the phone call between Emily and Lorelei about the grandmother's passing, the ceramics on the table change positions many times.
Continuity mistake: Lorelei's casual date brings his parents into Luke's and even though the windows are covered and you can't see outside, the cash register is at the wrong end of the counter.
Friday Night's Alright for Fighting - S6-E13
Continuity mistake: Lorelei is eating marshmallows covered in chocolate syrup. The amount of marshmallows on the plate changes as does the chocolate to marshmallow ratio in the bag next to her.
New and Improved Lorelai - S6-E1
Continuity mistake: During Rory's court appearance the door to the courtroom is closed. When Richard jumps up to yell at the attorney the door is suddenly wide open.
New and Improved Lorelai - S6-E1
Continuity mistake: During Rory's court appearance the gavel and water glass on the judge's desk change positions repeatedly.
Continuity mistake: When Sookie is reunited with Joe from the Deerhill Lodge, Lorelai pours herself a cup of coffee, then after Joe and Sookie have hugged, in the shots facing Sookie and Joe we see Lorelai's hand holding the cup, but in the shots facing Lorelai and Alex, Lorelai's hands are empty. (00:15:25)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.