According to The Rat in Spats book, the only law in Spatsville is that you cannot ever frown. Also the moral of the The Rat in Spats book is that you should not make fun of Rat's shoes.
When Timmy tries to wish Cosmo's wand back from Tom Sawyer, Wanda says her wand doesn't work on his wand, which is apparently a trick taught to Tom by Cosmo to get a second painting brush. This does not seem to reference The Finders Keepers Law proven in "Where's the Wand?", where whoever holds the wand has complete control over it.
When Tom Sawyer gets stomped on by the Rat in Spats, the text is colored red which is a reference to blood.
The episode features many parodies of books such as:
Astrophysics for Morons (written by Cosmo, which is weird because Cosmo wouldn't be smart enough to write a book, more overly a book that would be titled "Astrophysics for Morons" which would normally be written by someone with a great knowledge of astrophysics) (It is also a parody of the For Dummies book series)
The Three Mouseketeers (parody of The Three Musketeers) (They couldn't actually say "Mousketeer," because the only thing worse than a literary crisis is a copyright infringement lawsuit! Especially if it's an infringement with Disney!) The Mousketeers are also aliases of Jerry and Nibbles in some episodes of Tom and Jerry.
The Three Mouseketeers use a pair of Mickey Mouse' ears on the head.
Dr. Bruise, the author of "The Rat in Spats" is a parody of Dr. Seuss.
People moving on a fast vehicle while spasming about something.
At one point in the episode, the book "The Rat in Spats", when being held by Wanda, changes into Jason and the Argonauts.