Hello.
1) Booking Calendar support only inline month view calendars, where visitors can select days for the booking. If you need to select several (minimum or specific) number of days in calendar, then probably you will be interesting in the “range days selection” mode with 1 or 2 mouse clicks in the Booking Calendar Business Small and higher versions. Please read more about this feature here: https://wpbookingcalendar.com/overview/#range-days-selection
2) Also because of your business workflow, you can be interesting in the search availability feature, that available in the Booking Calendar Business Large and higher version. Your website, visitors can select the check-in and check-out days and number of visitors to search availability. Please read more about it here: https://wpbookingcalendar.com/overview/#search
3) Relative to this request: “our departs every second Saturday and runs for 10 days”. In the Booking Calendar Business Medium and higher versions You can define only specific dates as “start days for days selections” in calendar in booking form (please note, its does not work in search form). Please read more about this feature here https://wpbookingcalendar.com/overview/#advanced-days-selection
and about configuration of this feature here: https://wpbookingcalendar.com/help/booking-calendar-shortcodes/#booking-options-condition
4) If you need to make the specific number of bookings per days, then you need to check the Booking Calendar Business Large version, where is possible to make several reservations per specific FULL date(s) by visitors (not time slots). Please read more about it here https://wpbookingcalendar.com/overview/#capacity
At this version is possible to set capacity of the booking resource, so date(s) in calendar will be available until number of reservations is less then capacity of the booking resource.But in this version is possible to make reservation only for FULL date, not a time slots (time slots in this version only record data in the DB, but do not play any logic in reservation).
Please read more info about the booking resources and how to configure them here https://wpbookingcalendar.com/help/booking-resource/
You can test Booking Calendar live demos at this page https://wpbookingcalendar.com/demo/ to be sure in functionality and do not have misunderstanding.
Kind Regards.