I think you can do this if you use Insert > Marker and select Cross-Reference from the Marker Type drop-down list. Then you can enter whatever you want in the Marker Text field, which should let you distinguish between the multiple parts. Cross-referencing would then be to the cross-reference marker instead of to a paragraph tag.
It would have to be done manually for each part unless you have someone who is good with ExtendScript (or hire someone like Rick Quatro).
(BTW, I notice that you have two parts listed with identical numbers but different descriptions.)