After Zack hits on Lorelai, Rory calls her "Pamela Des Barres". Pamela Des Barres is a famous rock and roll groupie & former wife to Michael Des Barres, who guest starred in A Deep-Fried Korean Thanksgiving (2002)
Lorelai introduces Rory to her caught fish, calling it Jayne Mansfield, saying "well, she's not the brightest fish in the pond". Jayne Mansfield's on screen persona was of a dizzy blonde but she was actually highly intelligent, with a purported IQ of 163, and spoke five languages.
Liza Weil (Paris Geller) & Dakin Matthews (Hanin Charleston) also worked together on Gilmore Girls: A Year in the Life (2016) as the same characters, as well as on The West Wing (1999) as Karen Larson & Simon Blye respectively.
When Lorelai and Rory are facing the garage door in the teaser, they make a joke about a bat flying out wearing an Ozzfest t-shirt. This is in reference to when Ozzy Ozbourne accidentally bit the head off a live bat at a concert in 1982