Theme compatibility with bbpress and buddypress

Is the theme compatoble with bbpress and buddypress…??

I have a few questions to put on I want to create a blog where-

1)the home page shows an intro about my blog, a login and register links/buttons.

2) Anyone can post without login or register and if wants, then can create one’s account and set it as needed.

3) The blog would contain blogs on various topics.

4) all major permissions should be with the admin, if needed can delete any spam post or anyones account and send a mail to them.