Emily and Richard refer to Richard's previous fiancé being called 'Lynnie Lott', later on at the Harvard-Yale game in season 4 she is Penni-Lynn Lott and Emily distinctly points out 'we only refer to Penni-Lynn Lott as Penni-Lynn Lott!'
When Rory leaves Luke's to go "study" she leaves her sweater then Luke takes it when he goes to look for her and Jess. However, when Rory meets up with Jess she is wearing the sweater.
Richard states that Lorelei never went to college, so she doesn't know what the admissions process is like. While she did go to college (he went to her college graduation the previous spring), it was a community college and not a university and does not require a process anything like that of an Ivy League university.
On the Friday Gilmore dinner, you can see the camera on the left side of the screen.