Take a look at the calendar help
rights and roles of the building scheduler. This will explain what a building scheduler can do. The term "building scheduler" is a carryover term from the single point scheduling method used in the classic calendar module of the LUWS. It does not adequately describe what that position really does. A more adequate term would be more along the line of location coordinator or location conflict mediator.
One of the abilities a building scheduler has is to set aside a location (or room or equipment) for a stake or ward for a specific time period - a reservation. A reservation does not schedule or "book" the location (or room or equipment). That is done when an event is scheduled by an editor from the stake or ward for whom the reservation has been made. Reservations are displayed for members in the calendar week view when a location is selected in the "Locations" listbox. For more information about reservations see
About reservations.
The
distributed scheduling modelof the new calendar potentially makes everyone a calendar editor. Each ward can create any number of calendars with each calendar having any number of editors. It is the editors that actually have the the function of scheduling the location. The calendar system, when properly set up, deconflicts location and room scheduling during event creation. The system essentially abides by a first-come-first-served location and room/equipment scheduling method. The building scheduler only steps in to resolve unique scheduling situations. But as you noted a building scheduler has no ability to create events by virtue of that position alone.
Administrators, such as the stake website administrator, have by default editor rights to all public stake calendars. Likewise for ward administrators for public ward calendars. Ward administrators (see the calendar
rights and roles for administrators for a list of default ward administrators) approve all calendars submitted for their ward. Anyone in the ward can submit, or create, calendars. The creator of a calendar is by default an editor of that calendar. For more information on creating calendars see
Managing calendars.
If you as a stake administrator have made yourself a building scheduler for the stake center then you have both administrator and building scheduler rights. Ward building schedulers will not necessarily be administrators. Unless they are designated an editor for a calendar then they will not have editor rights. But when designated an editor for a calendar then they will, but only for the calendars to which they have been designated an editor.