the front turn/marker lamp if bad will affect the rate of the flasher, but the rear should still work.
Since you had your ‘bird come back from body work, make sure your tail lamp housings were installed correctly. The housings provide the ground for the sockets. They’re held in by five studs & nuts. If you’re missing some, Ames has these as well. My conv was missin’ about half of them and was part of the problem of water in the trunk.
If your rear wiring harness looks anything like the one in my convertible did, replace it. I got a replacement harness through Ames, and it was worth every dollar. No more lamp problems at all.