Visible crew/equipment: At the start of the episode Rory and Lorelai are about to open the garage door. You can see a crew member in the reflection of the glass moving his arms around the camera - you can also slightly see his head for a split second. (00:39:00)
Visible crew/equipment: While Rory and Paris are in Charleston's office, when the two girls are arguing the shadow of the boom mic is moving around on the wall behind Rory. (00:23:10)
Visible crew/equipment: When Rory and Paris are waiting to see the Headmaster, each time the door to Charleston's office is opened, the actor's T-mark is visible on the floor in the doorway. (00:22:25)
Visible crew/equipment: While Rory and Lane are in the beauty supply store, when they both crouch down looking at the lower shelf, the T-mark is visible behind Lane where Rory had been standing when they first walked in. (00:12:00)
Visible crew/equipment: When Luke gets frustrated with the construction noise he storms out of the diner, and at the start of the next shot we can see an actor's T-mark taped to the ground at the bottom of the screen, where Luke will be standing in a moment. (00:03:40)
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.