At my home store, the majority of the things you mentioned above are handled exclusively by the pharmacy manager. Some managers seem to like it this way b/c they know exactly where the store stands at any given time. Other stores (especially those with compatible pharmacists) share the responsibility - I think it all depends on what type of personality the RXM has and his/her relationship with the pharmacy staff.
Most RXMs try to work with the store managers as far as interviewing, hiring/firing and disciplinary actions are concerned but when it comes to things like inventory, ordering, and customer complaints/misfills, they are the HMFIC.
Does this answer your question or were you looking for more specific info?