Visible crew/equipment: After Emily asks Lorelai to help her with dating etiquette, when Lorelai and Rory leave the house some filming equipment is visible at the top left side of the screen. (00:20:20)
Visible crew/equipment: When Lorelai and Christopher are at the Dragonfly looking at the lunch menu, filming equipment (looks like the second camera) is visible at the left side of the screen, and it's visible again when Lorelai describes Michel and the bathrobe bandits. (00:22:15)
Visible crew/equipment: When Loralie walks out of the kitchen with a bowl of popcorn you can see the camera is slightly covered on the left side of the screen. (00:49:53)
Continuity mistake: When Lorelai and Christopher are at the inn Georgia is with them at the table in her high chair, but in a few shots the high chair is empty despite the fact that Lorelai supposedly turns to talk to Georgia.
Answer: Yes, Lane lives with both her parents. Her father does live with them, but he was only seen in the Netflix revival.