All Rear Lights out on 67 Barracuda

Tail lights we'll call park lamps. These and the tag lamp are all on brown wire, same as front park lamps, and that park lamp fuse. Turn signals are a green and a yellow for left and right and on a different fuse. Brake lamps do use those same green and yellow wires but that power comes from a different fuse. The turn signal switch in the steering column selects which green/yellow wire(s) is connected to which circuit and fuse.
Then reverse lamps use purple wires. Aint no way just 1 blown fuse disables all the rear lamps. A wrong type bulb, faulty bulb socket, other short circuit in rear lamps could blow multiple fuses.