1. Do you have a Booking Manager plugin (or extension)?
–> No, sorry
2. Do you have a Channel Manager plugin?
–> No, sorry
3. The possibilities of import and export booked from various sources on the site (Booking com, Air bnb, and others)
Yes, that is possible. You can add several sources to a calendar.
You can see it here: https://www.youtube.com/watch?v=GcLThNI2Y3U
During the import our plugin checks, if the room is available. There is no additional business logic there to see if the booking is a duplicate coming from a different source
Best,
Jan