There is a small bathroom on the ground floor, off the entranceway across from the front door. Rory uses this bathroom to wash her face during her date with Dean. But later on in the season this bathroom has been replaced by a closet.
Lorelai says she is getting coffee and will meet Rory at Luke's, but Lorelai never makes it to Luke's, meeting Rory on the near side in front of the diner. Rory doesn't question why Lorelai has no coffee or asks what she was doing instead of getting coffee.
When Dean kisses Rory for the first time, his head is tilted to the right, but in the next shot his head is tilted to the left.
When Rory is nervous about shopping with Lorelai, Lorelai says their house has nothing. A couple of minutes later, she says they have cookie dough at home.
While Lorelai says she needs coffee and sends Rory to get the movie in time, Dean is waiting behind the Doose's market door for his cue.