As long as you are careful about reinstalling the VIN tags correctly, there is no problem. And Bumpers and tail lights aren't date coded.
Congrats on the purchase and welcome to the FE5 T/A club!
Seeing the picture of yours makes me wish I could figure out a way to get the long term restoration of mine going, mine is an FE5 with black vinyl top 4 speed, I wish it was home in my garage finished, I miss it!!!