FlareSmith is a plugin to integrate the FeedBurner Stats and FeedFlare services into your WordPress site - without editing your theme!
Yes it does. Once you've signed up and 'burned' your feed. You will need to activate the Stats and (Site) FeedFlare functionality for your feed.
Yes, it does.
No. It only operates on blog posts. Pages don't appear in Feeds and as such are outside of FeedBurner's domain.
Version 0.17 fixes an issues with My Brand support, and lets you supply your MyBrand URL, which is probably different than your blog url (which v0.15 and v0.16 assumed).
The project is now hosted on github.com. Just fork the project and send me a pull request.