countifs function

Hi all - I have a COUNTIFS function that I can't seem to get to work. Basically it is looking for 2 criteria (the count from certain division and certain products) between a date range (first and last day of the month). All cells are referenced and formula as follows:

=COUNTIFS($I$3:$I$22,"=$A$5",$J$3:$J$22,"<="&B4,$J$3:$J$22,">="&B3,$K$3:$K$22,OR("=$A$12","=$a$13"))

A5=division
B4=end date
B3=start date
A12= product type1 (A)
A13= product type2 (AA)

I've attached a 07 workbook below (as it's a countifs) and don't know if this could also be done via a sumproduct. In case it affects things at all, I'm referencing cells from other worksheets...

Any help is greatly appreciated as it will save me banging my head on my desk (again).

doowop