Character mistake: This mistake happens in the town meeting scene. They are talking about the two business owners that dated, then moved when it ended badly. It hurt the town's economy. First it was said that Faye sold flowers and the guy sold candy. Then they said that Faye sold candy.
Character mistake: In this episode, Rory tells Lorelai that she was cleaning her computer's hard drive because it was full of unopened downloaded files which were consuming her CPU speed. This is wrong, the situation which she's explaining would not use up any extra CPU speed - she may be trying to say her hard drive was extremely fragmented which MIGHT consume some CPU speed (but a tiny amount).
Character mistake: While Rory is on the phone discussing a DAR application, Emily enters. Rory asks the caller to hold, but she doesn't hit a button to put the call on hold. She put down the receiver disconnecting the call. Then she forgets that she has someone on hold.