While in the kitchen talking to Luke about the dog, Lorelai sets an unopened beer on the table and sits down. When the camera angle changes, the beer has moved slightly and is magically open.
When Lorelai grabs Luke from the diner to show him the hole TJ made in her wall, Luke leaves the diner with his notepad and pencil in his hand from taking an order. When they get to Lorelai's house, Luke has no pencil or notepad with him.
When Lorelai gets out of the Jeep with the dog, she leaves the car door open. When the camera pans back to her from the man on the roof, the car door is magically closed in the background.
Near the end of the episode, Lorelai suggests Emily can print out change of address cards with a little "fleur-de-lys" for Rory, but her pronunciation leaves out the "s" at the end. While in most French words the consonants at the end are silent (exceptions being c, f and l and for liaison between words beginning with a vowel), this is an exception. It is pronounced "fleur-de-lis".
When Emily reads a list of tips for Rory regarding her community services, the document she is holding is actually pages from the script.
At around 12:50 while Rory is working at the D.A.R. office, she puts a caller on hold without pushing any button on the phone. Essentially, she hung up on the caller. Rory also leaves the room and never even attempts to check back with the caller.
Rory mentions that 300 hours of community service over six months is a full time job. Evenly spaced over the six months, it equals 12.5 hours per week.
Rory's car is still in the shop and she is depending on Emily to drive her places. No explanation is given for how she got to Stars Hollow when she showed up at Luke's Diner. But, Rory has previously taken the bus from Stars Hollow to Chilton in Hartford in earlier seasons. It was established that Richard and Emily live just a few minutes from Chilton. So, it's clear that there is a bus route between Stars Hollow and Hartford. Rory has also taken a cab in previous episodes.