Visible crew/equipment: When Rory is finally going back to Yale, in the scene where she and Lorelai are standing by the car debating who Paul Anka likes better, Rory gets in the car to drive away, but in the next shot of the car actually driving away, you can see what is a man's arm driving the car. (00:06:50)
Continuity mistake: Rory and Lorelai are talking on cell phones and Rory has her hands full with her pencil and her cell phone and every time they cut back to her her hair has been moved around. It goes from being behind her shoulder to in front of her shoulder, then completely behind her neck without her touching it.
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 can be seen on the ground in front of the bench where Paris will sit. (00:13:40)