Blame Booze and Melville - S5-E21
Visible crew/equipment: When Sookie and Jackson rush out of their house because Sookie's in labor, just as Rory tells Lorelai that they should have thrown the baby shower earlier, we can see the reflection of the boom pole and microphone on the hood of the van. (00:12:35)
Visible crew/equipment: When Lorelai and Rory walk into the living room while Emily is on the telephone with her lawyer, the filming equipment is visible at the right side of the screen. Then when Emily walks over to the bar to pour a drink, the T-mark (looks like chalk) is a bit visible on the floor where she stands. (00:00:25)
Those Are Strings, Pinocchio - S3-E22
Continuity mistake: During the graduation Lorelai borrows Richard's pen and writes "we got the inn" on the graduation program, and when she holds the program up to show Rory note the position of the blue logo printed on the bottom page. First the logo is near the center crease, but then it's at the outer edge of the page. (00:35:20)
Say Goodbye to Daisy Miller - S5-E1
Visible crew/equipment: Near the start, after Rory tells Lorelai that Dean came over to borrow something, just as Dean opens the door the reflection of a crew member is visible on the door's window. (00:02:50)
The Prodigal Daughter Returns - S6-E9
Visible crew/equipment: Right after the opening sequence, in the shot of Emily reading the newspaper at the table, the T-mark is visible on the floor beside the door. (00:04:50)
Visible crew/equipment: At the DAR event, after Emily finally tells off Mrs. Huntzberger, when Emily takes her seat the white T-mark is visible on the floor near her chair. (00:42:20)
Fight Face - S6-E2
Visible crew/equipment: When George, the architect, starts walking out of the diner, the T-mark (looks like chalk) is visible on the floor beside Luke's chair. (00:28:45)
Norman Mailer, I'm Pregnant! - S5-E6
Visible crew/equipment: While Lorelai is looking for her keys, when she takes her toasty socks out of the oven and puts them on, the T-mark is visible on the floor beside her. (00:01:20)
Tippecanoe and Taylor, Too - S5-E4
Visible crew/equipment: After Lane and her bandmates listen to the tape with the song Believe It or Not (theme song of The Greatest American Hero), when Zack says, "I'm not wearing smelly wood on my face," the T-mark is visible on the floor at Brian's feet. (00:29:00)
Visible crew/equipment: After Luke catches Rory and Jess together Rory rushes out, and while Luke is lying down all the ground rules for Jess, the T-mark is visible on the floor near the door. (00:16:15)
Haunted Leg - S3-E2
Visible crew/equipment: After Lorelai and Rory meet Emily's new maid, when they walk into the living room the T-mark is visible on the floor where Emily stands. (00:32:05)
Those Are Strings, Pinocchio - S3-E22
Visible crew/equipment: When Lorelai, Sookie, and Jackson are "celebrating" they all sit down at the table, and we can see the T-mark on the floor behind Jackson. (00:11:30)
Revealing mistake: While Rory and Lorelai are in the kitchen, in a few closeups of Rory we see the refrigerator and counter area with the microwave, etc. behind Rory, but when Lorelai is at the back door about to join Luke, part of the set beside the refrigerator is gone. (00:04:15)
Visible crew/equipment: After dinner with Emily, when it cuts to Lorelai and Rory rushing into their house, an equipment pole is visible at the right side of the screen at the start of the shot, and a standing spotlight lamp is reflected in the wall mirror. Then as Lorelai walks back down the stairs the camera is visible at the left side of the screen, and when Lorelai exits, the spotlight lamp's reflection is visible again. (00:06:25)
Visible crew/equipment: When Lorelai returns from her trip she tells Rory that she needs food, and as they walk away from the car, we can see the reflections of the camera operator, camera, and boom mic moving on the surface of the car. (00:38:30)
Say Goodnight, Gracie - S3-E20
Visible crew/equipment: After Lane apologizes to Mrs. Kim in the kitchen, when Lane walks to the stairs as the doorbell rings, the reflection of the boom operator holding the boom pole is visible on the glass. (00:29:45)
Say Goodnight, Gracie - S3-E20
Visible crew/equipment: When Luke gets home Jess confronts him about seeing his father, then just as Jess walks behind Luke the two T-marks are visible on the floor. (00:38:15)
He's Slippin' 'Em Bread... Dig? - S6-E10
Visible crew/equipment: After Rory calls Paris to tell her she's going back to Yale, when Lorelai walks into the kitchen and removes her jacket, the red T-mark is visible on the floor behind her chair. (00:23:35)
Red Light on the Wedding Night - S2-E3
Visible crew/equipment: When Lorelai is talking to Babette about her shower in front of Luke's there is an audio guy crouched down hiding behind her in two shots. You can see his headphones. (00:22:55)
Lorelai's Graduation Day - S2-E21
Continuity mistake: When Rory visits Jess she has a cast on her left arm from the car accident, but while Rory's on the bus returning from her trip the cast has vanished, then the cast reappears when Lorelai gets home after graduation. (00:33:15)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.