BeforeDelete only fires if the item is opened and you delete the item from
its File menu. Otherwise you won't ever get that event.

ItemAdd is an event of the Items collection of a MAPIFolder object. Since
you don't mention your language platform here's a sample in VBA.

Dim WithEvents colItems As Outlook.Items

' set colItems to the Items collection of the folder of interest. Then you
can handle the add event:

Private Sub colItems_ItemAdd(ByVal Item As Object)