Use, with appropriately adjusted paths,
=SUMPRODUCT(('C:\Users\bob\Downloads\[closed wb.xls]closed'!$A$2:$A$3=$A4) *('C:\Users\bob\Downloads\[closed wb.xls]closed'!$C$1:$D$2=B$3) *('C:\Users\bob\Downloads\[closed wb.xls]closed'!$B$2:$B$3>=$B$1) *('C:\Users\bob\Downloads\[closed wb.xls]closed'!$B$2:$B$3<=$C$1) *'C:\Users\bob\Downloads\[closed wb.xls]closed'!$C$2:$D$3)