It is possible in Connect Daily to have Items (Calendars, Resources, etc) that no person can edit.
To correct this, you can use the Make Super User screen to make a specific User or Group all-powerful in the system. This User or Group will have all possible system permissions and the appropriate per-item permissions for everything in the calendar.
To get to the screen, go to SYSTEM | SECURITY | MAKE SUPER-USER. Then select a User or Group to whom you want to grant permissions from the dropdown and click the Submit button.
If you choose a Group, all members of the Group will have any individually assigned permissions removed.