In the last scene, Rory is at the play she has to review. There is a female behind her wearing beige pants walking to her seat. When the camera goes back to Rory while she's on the phone with Lorelai, the same scene was repeated behind Rory, the girl in the beige pants should have been cut out.
When Little Davey is introduced, Sookie is holding him from one angle, while he is wrapped in a blue blanket, with a second blue receiving blanket/linen under his head. When seen from a different angle, he's got on a hat, and no blue receiving blanket/linen under his head at all. The thick flannel blanket is swaddled around the baby from the secondary angle, when before it was hanging loose down Sookie's belly.
Around 17', when Rory is talking with Lane over the phone, she sits in a Yale bench. When she starts to sit there's a guy on that bench, but in the very next shot he's gone.
When Rory is asking Doyle to change her article about the ballet, she sits down and removes her satchel strap from her shoulder. In the next shot, she is again removing the strap from her shoulder. *She actually just adjusted the strap and it was still on her shoulder when she sat down.*
When Lorelai and Rory attend the ballet, Rory says that she had never heard of lacrosse before she was assigned to write about it recently. But in Episode 1.3 (Kill Me Now), she lists lacrosse as an option for a team sport at Chilton.