You may have noticed the "Show as busy" and "Display to me" options to the right of all your calendars in your calendar settings.
Show as busy:
By checking "Show as busy" next to one of your calendars, every event on that calendar will be defined as unavailable on Vyte.
So be sure to check this option for your calendars to avoid double-booking.
Display to me:
The "Visible by me" option allows you to display calendar events in your Vyte calendar. Your Vyte calendar is accessible from your appointments page by clicking on "My events" at the top left of your screen, then on "Calendar".