Word.
Good pop culture references should reinforce what's funny about the characters and situations in the show.
When the Monarch recites the Lois Lane internal monologue while he's flying with Dr. Girlfriend, that's kind of lame, because the entire joke is "hey, this is a bit from a movie you've seen, but in a different context!"
The stuff with 21 and 24 is all good, though, as is the Monarch razzing Brock over his unfinished Led Zep tattoo. It's funny cause 21 and 24 are nerds, and Brock is a big lunkhead.