Headers are part of the ePub design spec, but not all programs read them. Most current programs don't.
Fonts are part of the design spec--but not all programs may recognize all fonts, either, and some devices/programs may let the end user override internal fonts.
"Outdents" are done by indenting everything else. (Just like in Word... there is no "outdent;" there's "here's the standard page margins, and this part has smaller margins or goes to the edge of the page.")
EPub as an archive format is probably fine; it'll support tags for all the features you need. In order to make it display the way you want it, you probably need to set specific program & device requirements for those archives.
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