As I learned here, Java FX 2.0.2 may be redistributed according to these terms.
Does this include the option to distribute my application with the FX runtime .jar and the appropriate licenses and readmes (as I would with any other library), or am I limited to adding a copy of the FX runtime installer to my software?
As long as you comply with the clauses here (in particular clause C), you should be able to bundle the complete JavaFX runtime for a given target operating system (jar, readmes, licenses and native code) with your application.
Indeed, in a discussion on JavaFX deployment options, Richard Bair, head of Java Client development at Oracle noted that [in many contexts] “The solution I like best is one where you co-bundle Java + FX with your application as a single executable.” Though, as JavaFX 2.0.2 has it’s own installer, this single executable bundling option might only be available in later releases.
If you have specific questions or concerns you should contact Oracle directly to make sure that your proposed usage of the software and distribution method will conform to the license agreement.