At the current time, there are no Airbnb + HomeAway players offering the whole list of services you are seeking, which would be a “super-PMS”. I believe there should be several super-PMS of this kind of the market, but in the current state of play you should expect to have to go to several services to match this.
I believe you should head towards Orbirental for a lot of what you are asking, as I think they would be one of the best positioned to meet your needs when it comes to calendar and listing updates.
For the communication part, I believe you should check-out Smartbnb.io (obvious disclosure, I am the founder of Smartbnb) which will automate all communication to your Airbnb guests, directly on Airbnb (with native Airbnb messages, not emails), from inquiries to reservation, from check-in to check-out, including automatic publication of reviews.
Communication with team members is currently under private beta, but I can give you an early access if you are interested. Automatic replies to repetitive questions should come soon!
We also provide a unified inbox across all Airbnb accounts (which may be of interest if you have an Airbnb account for each owner/property) to reply to guests, pre-approve/decline inquiries and pre-approve/decline requests to book.