I2:
=SUMIFS($D$3:$D$68,$A$3:$A$68,">="&H4,$A$3:$A$68,"<="&H5,$E$3:$E$68,H2)
or
=SUMPRODUCT(($D$3:$D$68)*($A$3:$A$68>=H4)*($A$3:$A$68<=H5)*($E$3:$E$68=H2))
I2:
=SUMIFS($D$3:$D$68,$A$3:$A$68,">="&H4,$A$3:$A$68,"<="&H5,$E$3:$E$68,H2,$C$3:$C$68,H3)
or
=SUMPRODUCT(($D$3:$D$68)*($A$3:$A$68>=H4)*($A$3:$A$68<=H5)*($E$3:$E$68=H2)*($C$3:$C$68=H3))
Your requirement is still not clear ; can you manually indicate what the results should be for the 3 cases that you have given in your workbook ? Once we know what the formula is supposed to return , it will be easier to suggest the correct formula.