Perry announces that he plans to rap Plato's Pheado to bring them into the 21st century. Daveed Diggs, who plays Perry, originated the role of LaFayette/Jefferson in Hamilton, which gained cult fame for its use of rap and hip hop to tell the story of America's founding.
"Close talker" and "man hands" are references to minor characters from the TV show Seinfeld.
"Linda P." is played by Andrea Martin and mentions her ex-husband Gary. In episode 7:8 of 30 Rock, another Tina Fey show, Martin guest stars as "Bonnie" and also laments about her ex-husband named Gary.