Yep, can be found here,
http://support.nikonusa.com/app/answers/detail/a_id/17484

No, MPEG-4 only.

Download here but register camera first.
http://support.nikonusa.com/app/answers/detail/a_id/17484/~/user's-manual---coolpix-s8200---guide-to-digital-photography

You should be able to shoot 29 minutes of continuous video.

Please read page 49 of owners manual, instructions are too long to print here. If you don't have the manual, download it here:(suggest you register camera first) http://support.nikonusa.com/app/answers/detail/a_id/17484/~/user's-manual---coolpix-s8200---guide-to-digital-photography

In short, yes, the S8200 can use UHS-1 cards; no, it's not fast enough to take advantage of it's speed.
Nikon has never, ever, disclosed the card writing speeds of any of it's cameras (I've tried asking them for years, without success). If you search the web you'll find several third party tests that show that most of it's modern Coolpix cameras can take advantage of up to class 6 cards; most of it's dSLRs can reach class 10, and some top dSLRs (like the D7000) can write up to ~30MB/s. The new US$6k D4 is supposed to break the 100MB/s barrier when copped with the astronomically expensive XQD cards, but in the case of the Coolpix S8200, I'd say that anything past class 6 would be a waste of resources.