Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: When Rory asks Lorelai to call Emily to get her out of Friday night dinner so she can celebrate her and Dean's 3-month anniversary, a boom mic drops into the shot as Lorelai stands to get the phone. (00:07:05)
Other mistake: When Christopher shows up, he says "tomorrow is Saturday." Wouldn't the girls be at Friday night dinner? Not ordering pizza?
Star-Crossed Lovers and Other Strangers - S1-E16
Visible crew/equipment: During Friday night dinner, after Emily suggests brandy in the living room Lorelai excuses herself, and when she stands up in the wideshot the boom operator is visible at the left side of the screen. (00:31:25)
Visible crew/equipment: When Lorelai argues with Richard in his study, nothing gets resolved and Richard says that he's tired, then in the last shot of Lorelai we can see a crew member's fingers holding equipment, at the right side of the screen. (00:25:55)
Continuity mistake: While Lorelai and Rory are at Luke's for a very early breakfast, when Miss Patty walks in she's wearing long earrings, but the earrings vanish and then reappear while she's telling Lorelai how badly she feels about Rory and Dean. (00:13:15)
Continuity mistake: Kirk introduces himself as "Mick" in the second episode. From episode 3 and throughout the series his name is "Kirk."
Visible crew/equipment: When Luke is waiting for Lorelai to show up and paint, a crew member, camera, and boom mic are reflected in the window next to him. (00:29:45)
Visible crew/equipment: While Lorelai and Luke are in the diner's storeroom, just as Lorelai makes a comment about not knowing what's going on in Rachel's head because she's not a Vulcan, the boom mic dips into view over the white container on the top shelf, at the top right side of the screen. (00:30:00)
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)
Continuity mistake: When Lorelai and Luke are in Luke's Diner to choose the color for the walls, Luke turns around the 'closed'-sign on the door. In this shot the venetian blind at the door is quite messed-up; partly closed, partly opened. In the following shot, where all the people are standing outside Luke's Diner looking through the windows, the venetian blind is orderly and completely opened.
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)
Continuity mistake: In the first scene when Dean brings pizza and they are discussing about Donna Reed, in one shot Lorelai is opening the pizza box and she and Rory take a piece and start eating while they are talking. In the following shot, the piece of pizza in Lorelai's hand is gone and Rory takes a piece from the box - you can see that the pizza is complete again.
Kill Me Now - S1-E3
Continuity mistake: Richard and Emily speak of his mother as if she were dead, but she comes to visit several times later in the series.
Rory's Birthday Parties - S1-E6
Visible crew/equipment: When Lorelai walks into the kitchen and tells Sookie that Emily and Richard have shown up, during their conversation the lighting equipment is visible at the right side of the screen, in four shots facing Lorelai. (00:34:55)
Visible crew/equipment: While Rory has the girls over to work on the debate, when Lorelai and Rory walk into the living room with the Pop-Tarts, just as Lorelai tells them about going to the Bangles concert we can see filming equipment at the left side of the screen. (00:23:45)
Visible crew/equipment: At the Bangles concert, when Rory says they have amazing seats, just as Louise replies, "Yes, they are," the boom mic dips into view over Louise's head, at the top of the screen. (00:25:50)
Double Date - S1-E12
Visible crew/equipment: Where Lorelai walks into the inn's kitchen she pours herself a cup of coffee, and as she walks toward Sookie we can see the red T-mark taped to the floor where she had been standing. (00:06:45)
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)
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: 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)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.