Yep, that's basically it. You can get the AMA and RCCA rules at www.RCCombat.com, for both open and scale classes. (The link in the above post is just to the scale combat section).

Many clubs also do local combat by their own local rules that may or may not match the AMA and RCCA.

Other than the zagi and slope full contact combat, most other combat is all about cutting streamers. (There are some electronic combat gadets out there as well)