When Lorelai comes back to Luke's dinner for the first time, Kirk gets out a notebook and says the last time she was there was May 22nd. May 22nd is Sean Gunn's, the actor who plays Kirk, real birthday.
Rory's apartment is at 544 Howe Street, Apt. #8 in New Haven, CT 06511. The street exists and is only four blocks from the Old Campus at Yale. The address, however, is fake. The numbers only go up to around 140 on that street.