Visible crew/equipment: After Paris leaves the inn, when Lorelai goes into the kitchen and teases Michel and Sookie for hiding, the T-mark is visible at Lorelai's feet. (00:09:20)
Visible crew/equipment: After TJ gives Tom the "special" hammer, when TJ walks over to Rory's bedroom door the white T-mark is visible on the floor under the table. (00:17:15)
Continuity mistake: When Loralie is having lunch with Paris, as Paris is leaving at about in Lorelai is wearing tennis shoes. As she walks into the kitchen she has heels on. (00:09:00 - 00:10:00)
Visible crew/equipment: When Paris calls Rory while she's at the DAR office with Emily, in the shot of Paris as she walks away from the coffee cart toward the bench, a yellow tape mark is visible on the ground in front of the bench where Paris will sit. (00:13:40)
Character mistake: While Rory is on the phone discussing a DAR application, Emily enters. Rory asks the caller to hold, but she doesn't hit a button to put the call on hold. She put down the receiver disconnecting the call. Then she forgets that she has someone on hold.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.