The episode title is likely a reference to: The piracy-related plotine, as well as Steal This Book by Abbie Hoffman, which was a guide for followers of the countercultural movement of the 1960s and early 1970s. This was read in Mother Simpson.
The film Radioactive Man Re-Rises is most likely a parody of the 2012 film The Dark Knight Rises.
The "IMAX Hobbit Frame Rate Virtual Reality Vision" theater is a reference to the The Hobbit trilogy and its usage of a 48 fps frame rate (compared to normal films, which use 24 fps).
Homer mentions that all he needs is "a laptop and a website based in a country that's really just an offshore oil platform". This refers to the Principality of Sealand (a micronation off the coast of the United Kingdom) and HavenCo.
The film Radioactive Man is finally made after it was shelved since the episode Radioactive Man.
When the consul is head-banging to the death metal, the FBI guy grumbles "... those peace-prize giving fish smokers".
The Nobel Peace Prize is in fact the only Nobel Prize not given by Sweden, but by Norway.
The fish smoking is a reference to lutfisk, traditinal dish in Sweden.
This is the 11th episode to not have the Couch Gag, Billboard Gag, and the Chalkboard Gag after an another 1-year hiatus.
Lisa's last lines trying to say who the "real pirate" is, before being cut by the Nascar race is possibly a reference to fans who watch the series the same way Homer used to watch the Movie: Illegally downloading it.
Bart downloads the movies from a site called "The Bootleg Bay", a parody of The Pirate Bay, a swedish site where movies & other things were downloaded until December 2014 when it was shut down.
Cosmic Wars is a parody of Star Wars and A New Take is a parody of A New Hope. Also, the famous opening crawl is parodied.
The audience cheering when the opening blurb mentioned that Episodes I, II, and III never happened thanks to a space-time rift and Sideshow Mel excitedly stating his childhood was "unruined" is a reference to the negative reception towards the Prequel Trilogy of Star Wars.
One of the audience members at the Cinema brought a baby to a film being shown at 9:00 PM, however, at most theaters, you would only be allowed to take a baby to morning or afternoon showings.
Various audience members at the Cinema were on there phones/tablets, however if you were on your phone you would be asked to leave the auditorium and if you had a tablet you wouldn't be allowed to take it in as you are not allowed any form of recording equipment.