It is best if each executive board member enters their own events. The reason for this is that they can only edit events that they have created.
If a change in time or place comes up, they can go to My Access > EBoard > Event Administration and edit the event. They can also change the invite list. The only option they don't have is to delete an event. That is only an admin option.
You can see the who has created the event in the event information.