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)
Visible crew/equipment: When April shows up at the diner, we can see the reflection of the moving boom pole and mic at the top of the window, behind Luke. (00:14:00)
I'm a Kayak, Hear Me Roar - S7-E15
Continuity mistake: When Lorelai picks up Rory and they head off on a drive there is no rearview mirror on the Jeep's windshield, but when they run out of gas and start their walk, a rearview mirror suddenly appears.
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)
Chosen answer: Lorelai and Christopher get married impulsively in Paris but they get divorced shortly after returning home. I don't know the exact number of days or weeks but they definitely weren't married for more than a couple of months.