That is exactly correct.

Both boards and the PM system is their property right?

The 6 rules apply to both boards and the PM system.

Privacy between the parties communicating via PM's is only as private as the members here make it. If Agoracom suspects wrong doing via PM's as part of their investigation should they be considering disciplining or even banning a member, they have the right to "snoop."

And, when you delete a PM from your inbox or sent tab, it is not deleted at Agoracom.

This is not an opinion, it's a fact.