Do you use Drive Letters or UNC Pathing? If you use drive letters and the same letter is used on the new server, then everything should still be found/loaded.
If everything about the path is different then you would have to repath each of the links when you open each of the NWF files. I do not know of any way to automatically repath but if you open an NWF file and it can't find any/all links, it will ask for the new path to each item.
If the NWF and each of the NWC files are in the same folder, it should find them regardless of what happens with your network mapping.