Back in the Saddle Again - S2-E18
Visible crew/equipment: When Emily opens the door for Lorelai and Rory for Friday night dinner, they walk in and sit in the living room, then during their conversation we can see four T-marks taped to the floor behind Emily. (00:37:40)
Richard in Stars Hollow - S2-E12
Visible crew/equipment: After Lorelai and Rory hug, a cameraman can be seen in the mirror next to them. (00:28:45)
The Road Trip to Harvard - S2-E4
Continuity mistake: When Luke offers Lorelai coffee, Luke grabs two paper hot cups, but the camera angle shifts and he is holding only one cup, then the angle shifts again and he is back to having two cups while he proceeds to pour the coffee. (00:38:10)
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)
Back in the Saddle Again - S2-E18
Visible crew/equipment: When Rory and her classmates arrive at Richard and Emily's house Paris opens the door, and just as they reach the dining room, the two boom mics are visible at the top of the screen. Also note the huge crystal chandelier is conspicuously missing. (00:25:35)
Like Mother, Like Daughter - S2-E7
Visible crew/equipment: When the guidance counselor introduces herself to Rory during lunch she tells Rory to meet with her after lunch, and when she walks away camera equipment is visible at the bottom left corner of the screen. Then, at the end of the episode, when Lisa asks Rory if she can join her for lunch, the camera equipment is visible again before it moves. (00:06:00 - 00:43:15)
Red Light on the Wedding Night - S2-E3
Continuity mistake: When Lorelai, Max, and Rory are in the diner, just as Luke tells them that he's almost out of the blueberry pancakes and he can't make more, the regular menu which is set upright on the table suddenly becomes the "lunch" menu, and then it's back to the regular menu. This occurs well before Luke even brings Max the lunch menu because Max is taking too long to decide. (00:13:35)
Richard in Stars Hollow - S2-E12
Visible crew/equipment: Lorelai is telling Rory there is no school - as it scans past the kitchen for a quick second you can see the top of the set.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.