Restrict to Facebook Users

Is there a WP plug-in (or a way) that allows me to make my blog accessible only to my Facebook friends?

OR

Is there a WP plug-in (or a way) that allows that allows me to make my blog accessible to any Facebook users?

Requirements:

1. It must automatically register the incoming Facebook user.
2. It must provide the ‘Login with Facebook’ button on the standard login page (wp-login.php).
3. Upon login, it must redirect the user to the post s/he intended to view.
4. It must not allow anonymous user access to the posts.

I’ve spent hours searching for a plugin (or a combination) that did all of this, but have not found one.

Any help would be appreciated.