Comments of posts shown on facebook?

Hello,

I would like my users to be able to log in via facebook on my wordpress page. (This I believe can be done with Ultimate Facebook Plugin.)

Then (if activated in WordPress) users should also be able to post comments after having logged in via facebook, right?!

Is it possible to post these comments (after having been cleared by the admin) on facebook fanpage with Ultimate Facebook Plugin?)

Or do you have a plugin that allows users to register and post text/links that you would rather recommend?

And last but not least, if you don’t mind: as for the facebook login… how do I make my users accept my terms and conditions?

Thanks a lot,

Fabian