You can use a formula to check if you have any values in previous due dates measure and if this is empty show current due date value.
eazyBI imports custom date previous values as a comma separated string. While there are no example of this in your screenshot, there might be several dates in old values field. I would suggest formatting the result of the formula in the same way as old values default data import - string value. Here is an example formula for this:
CASE WHEN IsEmpty([Measures].[Due Date - Old Values])
THEN Format([Measures].[Issue CF Due Date], 'yyyy-mm-dd')
ELSE [Measures].[Due Date - Old Values]
END
Then you can apply a different date format to this new custom measure. Here is your topic on a formatting change for dates:
Daina / support@eazybi.com