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)
Continuity mistake: Luke is at a table talking to Miss Patty while Lorelai stares out the window at Rory and Lane. Except behind Lorelai you can see Luke at the register alone, even though his voice is still heard talking to Miss Patty.
Continuity mistake: During the town meeting, when Harry is talking about the Battle of Stars Hollow, in the shots facing Harry his hat is sitting on the top edge of the lectern, but in the shots from over Harry's shoulder the hat is sitting on the lectern's inner shelf. (00:01:15)
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: After the cook tells Emily that she can't make it because of the storm, in the next few closeups of Emily the lighting equipment is visible beside her, at the right side of the screen. (00:18:45)
Visible crew/equipment: Lorelai and Max are at the bookstore watching the movie, and when it cuts to Rory picking up the slice of pizza, the lighting equipment is visible at the right side of the screen. (00:25:40)
Visible crew/equipment: When Rory gets the photo album from her mother's bedroom and shows her Grandparents, just as Emily reminds Richard about getting the baby dress in London, a piece of filming equipment is visible at the right side of the screen. (00:27:25)
Visible crew/equipment: Right before Max and Lorelai go up the stairs, a crew member's arm is seen on the right side as they step out of the shot. (00:34:00)
Visible crew/equipment: While Lorelai and Max are kissing on the staircase, when Lane walks up and surprises them, the two tape marks are visible on the lower step. (00:34:15)
Other mistake: When Rory is dropped off in the morning after spending the night with her grandparents, she walks from the car to the porch where Lorelai is standing, but even though it's snowing there aren't any snowflakes anywhere on Rory. (00:39:10)
Visible crew/equipment: When Rory is dropped off in the morning, he walks up the front porch, Lorelai greets her at the door. Behind Rory across the driveway in the bushes is a man. The many slowly hides back into the bushes. (00:39:19)
Visible crew/equipment: Near the end of the episode when Rory comes home and is standing on the porch talking to Lorelai at the door, right before Rory says "Hi" you can see a crew member in the background, standing in the bushes on the other side of Lorelai's jeep and then moving out of sight (toward the left side of the screen). (00:39:20)
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)
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 Lorelai and Max are on the porch talking about whether or not Max can go in, there are a few snowflakes on Lorelai's hat which disappear and reappear while they're talking.
Rory's Dance - S1-E9
Factual error: The morning after Dean and Rory fall asleep at Miss Patty's, when Patty wakes them up, she tells them it's five-thirty in the morning. When Rory runs out into the street, there is snow on the ground and the sun is up. In Connecticut, there is no time of year in which there would be both snow on the ground and sunlight at 5:30 a.m. (It's not streetlights either - in other episodes that take place at night in the town square, the streetlights do not light up the entire square - they are some distance apart, and their light is concentrated around the poles).
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)
Forgiveness and Stuff - S1-E10
Visible crew/equipment: After Richard is brought to his hospital room, when Luke tells Lorelai that she's avoiding seeing her father, the boom mic dips into view at the top pf the screen when she says, "You know what hurts? A screwdriver in your head." (00:30:25)
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.
Visible crew/equipment: After Rory tells Lorelai that she looks happy, when it cuts to Max telling his class about Emily Dickinson's poem, we can see the boom mic bobbing around at the top of the screen. (00:07:55)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.