I have a 57 pan with the same problem.The plastic emblems are loose. I want to remove and reinsall emblems for paint. Is there a special tool? I understand that it's a rivet but not sure how to work with them.
Use a punch with a concave tip to try to tighten the rivet by tapping lightly. To remove the emblem, use a center punch to to locate the center of the rivet. Find a drill bit slightly smaller than the rivet head and drill it out. Go easy, you don't want to drill into the emblem. Once the head is gone, use a drill bit slightly smaller than the rivet shank, and drill it out. Have the new rivets and clips on hand to gauge how far into the rivet to drill. VPH-D