BuddyPress.org

Hi, new to BPress.
I’m needing to create a multi site network with buddypress.
I’m not sure of the proper plugins.

Is it possible to create all of the typical buddypress interaction to be PRIVATE to EACH SITE, and to have PRIVATE FORUMS and ALSO SHARED FORUMS that ANY of the sites can interact with?

Example:
Site 1 – users only get private messages, connect, etc.
Users can post forum topics to be seen only by site 1.
Users can also post topics to forums set up by the ADMIN ONLY that can seen by ALL SITES (site 1, site 2 and site 3).

Is this possible? What plugins would you recommend?

Thank you for your thoughts.