Introducing Lorelai Planetarium - S7-E8
Continuity mistake: When April and Luke are discussing Sabrina's party, the salt shaker and pepper mill switch places on the table, before April moves them to represent boys and girls. (00:09:40)
Introducing Lorelai Planetarium - S7-E8
Continuity mistake: When Lorelai and Christopher have Rory over for dinner, Rory is wearing a black sleeveless dress, but when Lorelai offers Rory the snail she cooked, we can see Rory's arm or the arm of a stand-in and this person is wearing a light blue top with sleeves. (00:11:40)
Introducing Lorelai Planetarium - S7-E8
Visible crew/equipment: While April is wrapping the gift for Sabrina, when Luke talks to her about the party, the reflections of the set's reflector screen and a crew member wearing blue pants are visible on the toaster's silver surface. (00:23:50)
Introducing Lorelai Planetarium - S7-E8
Continuity mistake: When Lorelai and Christopher are telling Rory they got married, Rory is serving herself salad. When they show her again her plate is empty and she is serving herself a second time.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.