At one point, Kristy's mom (played by Alicia Silverstone) says, "and it would make us more comfortable if you would refer to me as 'of Watson'." This is a reference to the show and its source novel "The Handmaid's Tale" where a woman is renamed to refer to the man she serves - each name starts with "of" followed by the man's name, so she jokes that her name would be "Ofwatson".
Mary Anne mentions the movie "It," and shortly after in the same scene, Jamie is playing alone in the street wearing a yellow raincoat, just like Georgie, the little boy in "It."