Joe and the other 'not cops' were 'not' watching Die Hard and commenting on the film's plot failings of a visiting police officer not filling out paperwork.
The band Smash Mouth is mentioned for the second episode in a row. In this case, the skinheads admit they like Smash Mouth.
Cleveland becomes a lawyer inspired by the film Roman J. Israel, Esq. This is also a film that pops up when the family plays Heads Up!, although notes at the scene's end only mention Denzel Washington making the movie poster.