Have you confirmed that the round flasher thingy under the dash is good?
Also, something that I encountered when I installed fiberglass quarter panels on my '75 was that the taillight housings themselves are part of the ground. In other words, for any bulb that is plugged into the taillight housing there is no separate ground wire. Make sure that the taillight housing itself is grounded to the body which I believe is actually through the mounting screws since there is a gasket between the housing and the body that acts as a water seal.
On mine, because there was no longer a metal body part to act as the ground since my taillights are now mounted to fiberglass, I did have to add a separate ground wire from each taillight housing to a steel part of the body. I just used the same ground ***** that was already there for the side marker lights since they do have a separate ground wire and the ground ***** just happens to be right behind the taillight. As a last resort, I suppose you might need to do the same thing.