Those Lazy-Hazy-Crazy Days - S3-E1
Visible crew/equipment: When Lorelai and Rory are on their way to the festival they stop at Sookie and Jackson's house, and as they approach the front door, the reflections of the camera operator and camera are visible on the door's window. (00:25:05)
Haunted Leg - S3-E2
Visible crew/equipment: After Emily tells the new maid it would wonderful to remember the difference between the bells, as Emily, Lorelai, and Rory walk away from the front door, the white, red, yellow, and green tape marks are visible on the floor behind them. (00:32:00)
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)
Haunted Leg - S3-E2
Visible crew/equipment: When the new maid tells Emily the dinner is ready even though it's only 6:30, Emily concedes and they all head to the dining room, and just as Emily says they all can be in bed by 9:00, we can see the boom pole and mic in the living room behind them, at the top of the screen. (00:33:20)
Haunted Leg - S3-E2
Visible crew/equipment: Rory gets dragged in the bathroom to discuss hem lines and the entire time the mic guy can be seen in the shadow on the wall behind her.
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out of band practice you can see part of the mic guy's body and elbow at the right side.
One's Got Class and the Other One Dyes - S3-E4
Visible crew/equipment: Right before Lane walks out there is a crew member watching the scene from the doorway of the back room and then she quickly ducks back inside.
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai is on the phone trying to get the name of the guy who she met at the auction, she mentions the winning lottery ticket, and as Lorelai sits down at the table the filming equipment is visible at the right side of the screen. (00:16:20)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Lorelai's date arrives she and Rory head downstairs, and as Lorelai tells Rory to phone with a fever if the date is a bust, the boom mic is visible in the foyer at the top of the screen. (00:25:30)
Eight O'Clock at the Oasis - S3-E5
Visible crew/equipment: When Emily gives Lorelai and Rory their drinks she mentions the cheese and walks away, then when Lorelai sits on the sofa the green tape marks are visible on the floor, where Emily had been standing by the bar. (00:40:20)
They Shoot Gilmores, Don't They? - S3-E7
Visible crew/equipment: Before the dance marathon, when Lorelai and Rory are headed over to the first aid station they meet up with Sookie, and when Lorelai and Sookie cross the street we can see the T-marks taped to the sidewalk. (00:15:15)
They Shoot Gilmores, Don't They? - S3-E7
Visible crew/equipment: After Luke fixes Lorelai's broken heel it cuts to Lane at the first-aid/rest stop at Miss Patty's, and when Lane walks toward her table, we can see the T-marks taped to the floor. (00:35:10)
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)
Visible crew/equipment: During the Friday night dinner, something that looks like a microphone swings back and forth next to Richard's arm. It is most visible in the first shot of him (from behind).
Visible crew/equipment: When Trix shows up unannounced Emily confides in Lorelai that she's unprepared, and just as Emily and Lorelai exit the foyer two taped T-marks are visible on the rug behind them, at the bottom of the screen. (00:19:50)
Visible crew/equipment: When Lorelai and Rory are finished preparing their house for Gran's visit, just as Lorelai and Rory are walking towards the door we can see a T-mark and other tape marks on the floor. Then after showing Gran the house, when they're leaving a rug has appeared covering all those tape marks. (00:30:15)
Visible crew/equipment: During the family dinner at the inn Trix is seated beside Richard, and when Trix tells Lorelai, "He's a go-getter your father, not completely dissimilar to yourself," in this shot facing Trix and Lorelai the boom mic quickly dips into view at the top of the screen, and what looks like a bit of filming equipment is also visible at the bottom right corner of the screen. (00:37:40)
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)
Visible crew/equipment: When Luke gets frustrated with the construction noise he storms out of the diner, and at the start of the next shot we can see an actor's T-mark taped to the ground at the bottom of the screen, where Luke will be standing in a moment. (00:03:40)
Visible crew/equipment: While Rory and Lane are in the beauty supply store, when they both crouch down looking at the lower shelf, the T-mark is visible behind Lane where Rory had been standing when they first walked in. (00:12:00)
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.