Ballrooms and Biscotti - S4-E1
Visible crew/equipment: When Sookie takes Lorelai out to the shed because Jackson doesn't want to know the sex of the baby, just as Sookie opens up the doors, we can see the hand of a crew member at the lower right side of the screen, stopping the moving door. (00:12:20)
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)
The Fundamental Things Apply - S4-E5
Continuity mistake: While Lorelai and Michel are at the diner Luke tells Lorelai to take Michel elsewhere, and when Luke goes behind the counter his shirt is perfectly dry in this wideshot and following closeup. but in the next wideshot, as Lorelai tries to get Luke's attention, we now see a round wet spot on Luke's back, but the problem is Lorelai has not yet tossed the lemon wedge at Luke's back that causes the wet spot on his shirt. Lorelai tosses the lemon wedge about ten shots later. (00:07:25)
The Fundamental Things Apply - S4-E5
Continuity mistake: Lorelai is in Luke's Diner talking to Luke. Lorelai is wearing a red sweater vest over a white blouse. When Luke is behind the counter, every time the camera faces Lorelai, the left side of her blouse goes from being tucked in under the vest (as if the vest were hastily put on), to being untucked (as it should be) quite a few times.
The Fundamental Things Apply - S4-E5
Continuity mistake: When Rory comes into the room to answer the phone and sees Paris avoiding the call because it's her boyfriend Jamie, she empties the contents of her school bag onto the desk, including her mobile phone. Then later in the scene when Rory suggests Paris use her mobile phone to call Jamie, she pulls it out of her bag again, despite having left it on the table all but half a minute earlier.
Visible crew/equipment: When Lorelai gets off the phone with her mother Rory walks into the house complaining about her roommates, and the boom mic dips into view at the top of the screen. (00:16:40)
Continuity mistake: While Lorelai and Sookie are with Emily doing the test meal, when Emily tells Lorelai to remove the plates she picks up the two plates and walks out of the dining room, but in the next shot the plates have switched hands. (00:23:35)
Visible crew/equipment: When Emily tells Jason that she needs his guest list for the launch party, in the shots facing Emily and Richard we can see lighting equipment at the left side of the screen. (00:28:20)
Continuity mistake: Lorelai and Sookie take some containers out of the car and head towards Emily and Richard's door. When you see the next shot of them at the door, the containers Sookie is carrying are different from the ones she took out of the car, without her rearranging them.
Visible crew/equipment: When Lorelai is doing her baby-talk with "wittle Michel" he continues walking as she stops in front of Luke's, and the reflections of the camera operator and camera are visible on the glass door. (00:16:10)
Continuity mistake: In the scene where Rory is talking to Lane on her cell phone, she sits down on a bench. On that bench is a guy reading a book. The scene shifts to Lane in Stars Hollow, and when it shifts back to Rory at Yale, the guy on the bench is gone. (00:16:40)
Visible crew/equipment: When Lorelai is in the diner questioning Luke about Nicole, during their conversation the reflection of the boom operator holding both arms up is visible on the window. (00:21:40)
Continuity mistake: While Lorelai is at the diner talking to Luke about Nicole, when she takes a seat at the counter she places her black purse on the stool beside her, but in the following shots that purse repeatedly reappears and disappears from her shoulder, depending on the camera angle. (00:23:25)
Continuity mistake: When Rory is sitting in the theatre, on the phone to Lorelai, we see the same people walk behind her twice - the woman with white jeans on and the woman with beige trousers. (00:42:10)
Ted Koppel's Big Night Out - S4-E9
Factual error: Lorelei and Jason go to dinner after the Yale vs Harvard game. When the dinner is a bust, they go to the supermarket. Wine bottles can be seen as they enter the supermarket. Hard liquor and wine are not sold in supermarkets in Connecticut. Up until a few years ago, alcohol could not be purchased on Sunday or after 9 PM.
In the Clamor and the Clangor - S4-E11
Continuity mistake: When Lorelai walks into Luke's apartment, she has a doughnut in her right hand, but as she's looking around the apartment and then leaving, the doughnut is nowhere to be seen. (00:25:16)
The Incredible Sinking Lorelais - S4-E14
Continuity mistake: Dean calls Rory, and towards the end of the conversation mentions getting his first cell phone. This is false. He's had a cell phone the whole series. Paris even calls it in the season 2 episode "Can't Get Started" when Rory and Dean are at Sookie's wedding.
Plot hole: When Emily is dialing a number for Manny Martelli, to make arrangements for the funeral, she only dials two digits. She just got the number from someone else, so there's no way it was speed-dial.
Visible crew/equipment: When Lorelai, Sookie and Michele stand up to leave the table in Sookie's kitchen, a crew member pushes in the chair Michele was sitting in.
Visible crew/equipment: When Lorelai enters Richard's study with the soup and he is lying on the couch, if you look above his head as he starts to cry and says "mock turtle soup", you can see the shadow of the camera guy. Keep watching and you'll see the shadow of the camera as it is moved.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.