Drawing format parameter text displays incorrectly when model is updated?
I have seen those asterisks when doing the kind of rename dance like you describe. Sometimes, changing the rename order works - rename the older file the supplier's name, save and close the drawing, then replace the old with the new, reopen the drawing and then rename the new file to your preferred name. Sometimes it doesn't. It seems like somehow Pro/E is on to your tricks and knows this isn't the same file.
Rather than recreating the entire drawing, you should be able to edit the drawing tables or notes where the asterisks are with the proper ¶meter_name and it should reconnect to the parameters just fine. Still painful, but not as bad as starting over.