Adele sings "Funny Valentine" in the gallery while Richard operates. She was in a movie called "Funny Valentines" previously in her career.
Every episode of the show is named after a famous song. "Hope for the Hopeless" is the title of a song performed by A Fine Frenzy.
Episode guest star Jes Macallan (Hillary, Alex's guest) and series regular Chyler Leigh (Dr. Lexie Grey) both went on to star in the Arrowverse, mainly on DC's Legends of Tomorrow and mainly on Supergirl respectively. They do not share any scenes in either universe, but have notably slept with the same character in both (Alex Karev on this show, Sara Lance in the Arrowverse).