Richard and Rory touching the side of their noses is a reference to the Paul Newman/Robert Redford movie The Sting (1973), where the con-man duo and their team use it to acknowledge when their part of the scheme is completed.
Rory mentions Spike and Drusilla (characters from the TV show 'Buffy the Vampire Slayer') to Paris. Danny Strong (Doyle McMaster) starred in the show as Jonathan Levinson from 1996 to 2003.
At Miss Patty's celebration, Kirk is reading "Yoga for Dummies".
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.
Matt Czuchry (Logan) & & Dakin Matthews (Hanlin Charleston) also worked together on episode 4.2, And the Law Won (2012), of The Good Wife (2009) & episode 1.2, Spring (2016), of The Good Wife (2009).