Odd brake/tail light problem

Some things to keep in mind. These old fuse panels. if the fuse clips are rusty/ corroded or loose, they will not make good connection with the fuse and this will cause HEAT at the terminal. Heat is what blows fuses--so current through the circuit + generated heat at poor clip connections can blow the fuse with way less current through the circuit than rated.
For sure. We drove w/o AC for many summers in Florida in our ~1971 AMC Matador Station Wagon because the blower stopped working. My dad had checked the fuse and it looked fine, so he gave up as "too expensive to fix". Years later, a guy at work seeing him wet with sweat mentioned that the fuse might have melted from corrosion heat. Sure enough, the wire was melted inside right at the tip where you couldn't see it. He then installed a resettable breaker instead which the guy mentioned and we had AC. Today, we have free multimeters (Harbor Freight coupon) and web info like this to help. He could have tried swapping fuses, but perhaps Chemistry grads don't think of such things.