Harry and the Grey alien, voiced by George Takei, do a lengthy riff on the phrase "Oh my." This is George Takei's well-known catchphrase, one that he says "I've been using all my life," and which is the title of one of his books.
Project Blue Book (1976) by Brad Steiger is a real book investigating US Air Force suppression of UFO information from the 1950s and 1960s. The Air Force's classified project conducted the work of cataloging and investigating UFO sightings.
D'Arcy asks Harry why he talks like C-3PO from Star Wars: Episode IV - A New Hope (1977). Alan Tudyk played K-2SO, another droid from Rogue One: A Star Wars Story (2016).
Cortisone is considered a doping substance and would not be allowed in a competition, athletes are subjected to routine screenings. D'Arcy would certainly know she's breaking the rules and even so, she would wouldn't get a shot so in the open in a first aid tent.