For column H, add (Stats!H2:H5000="") and for G, (Stats!G2:G5000<>"")
sooo
=SUMPRODUCT((Stats!H2:H5000="")*(Stats!G2:G5000<>"") * (Stats!F2:F5000>=DATE(2012,4,30))* (Stats!F2:F5000<=DATE(2012,5,4))*(ISNA(MATCH(Stats!G2: G5000,{"ac","gm","tm","jp","rr","mr","dv"},0))))
Does that work for you?
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