Wait Brian - one more!
1.) I play lead and rhythm but pride myself on rhythm the most. Maybe I should say it's a hybrid style of rhythm/lead combination because I'd rather leave the "real" lead stuff to someone more talented than myself. Plus, in most cases, I've never had the patience nor facility to figure out most leads in a note-for-note manner - "close enough to be somewhat recognizable" is fine with me.
Also, I tend to play a lot of arpeggiated chords etc. using a pick and my other three picking fingers (or just the flat pick alone). Kind of McGuinn-ish at times.
It's really hard to say because this stuff happens automatically and I've never really analyzed it before now.
2.) The only Ric I've got is a 360/12V64, so that'll tell you that I'm doing the Beatles and Byrds style 12 string parts (even on some songs that don't "require" that kind of thing). But I'm also using it for newer stuff like Plimsouls, Gin Blossoms, etc. - whatever sounds cool with a 12 string. At a jam once I used it to play lead on "Dizzy Miss Lizzy" at a volume that tore the roof off the sucka. That was pretty cool.
3.) Genres - I play whatever... Like most people here, I grew up doing what's now termed classic rock (when it was new), and blues, some country - typical bar band stuff that's all over the map. Had an all original "new wave" type of band in 1980 that was pretty cool, but I haven't been in a real band for 20 years now. Only jam a few times per year and I'm the guy who tends to want to do the "different" non-typical jam songs that everybody in the world does... i.e., I'm trying to add something in besides all the blues and southern rock. Sometimes I even succeed.

But I still like playing that stuff too.
Heck, I'll play anything as long as it's fun and sounds halfway cool. For more "traditional" leads I'll usually use one of my Strats, or a Les Paul Standard or Special, or Tele.