When Jake & Boyle are presenting the "Murphy Family Tree" board to Captain Holt, you can see one of the names as "Killian Murphy". Cillian Murphy is an actor known for Batman Begins (2005) & Oppenheimer (2023). Not sure if this was intentional or just a coincidence.
When Amy is distraught over the forms not making sense she makes a comment about is anything real to which Rosa replies that they are probably living in a computer simulation, but she didn't have time to go down that "rabbit hole". This is a reference to "The Matrix" which is about a computer generated simulation that human beings accept as reality. The main character in the movie, Neo, follows the white rabbit in a reference to Alice in Wonderland in order to find out the truth of the matrix.
Amy and Rosa trying to get the forms approved is a tribute to "Columbo", Season 1 episode 7, "Blueprint for Murder".