Paris tells Rory that the boat she and Logan stole belonged to a Dr. Daniel Zimmerman, but in A House Is Not a Home (2005), Colin said that Logan and Rory stole "Richardson's" boat when he and Finn came to bail Logan out of jail.
When Lorelai is showing Paris the way out at the Dragonfly Inn, she is wearing tennis shoes. In the next scene, when she has walked into the kitchen, she is wearing heels.
At the beginning of the episode, when Lorelai calls all the guys for breakfast, a guy with a blue shirt and helmet comes in and stands next to her. A few seconds later, when TJ is shown outside, he is talking to that same guy who appears to be working and not having breakfast.
When Lorelai is having lunch with Paris at the inn the second time, the amount of iced tea in Paris' glass is always increasing and decreasing between shots.
At the beginning of the episode, right after Lorelai calls all the guys to have breakfast, TJ is shown talking to a guy and he calls him Norman. Then, when Lorelai is telling Luke who saw her naked, she never mentions Norman, however, right after she goes to take a shower at Babette's, that same guy (Norman) beckons Luke as if he has seen Lorelai's body.
DAR chapter presidents are referred to as regents.
State DAR organizations do not have offices. The only offices the DAR permanently maintains are in Washington DC, and you do not have to be a member to work for them.
When Rory is on the phone at the DAR, helping a prospective member, Emily Gilmore walks in leading Rory to ask the woman if she could "hold on for a moment?". At min. 12:50 Rory places the phone down, but does not hit any buttons to actually place the woman on hold, essentially hanging up on a potential member.
After Paris leaves The Dragonfly, Lorelai walks into the kitchen. When getting coffee, you can clearly see the red stop point actor's mark (an inverted "T") at Lauren Graham's feet.