Parking brake operates on both rear wheels. Generally if the star adjuster clicks while it's turning it is tightening the brakes. There is a sprung part behind the star adjuster that leans against the points of the star making the clicking noise. It needs to be pushed away from the star a little bit so the star wheel can turn in the non clicking direction bringing the bottom ends of the parking brake shoes closer together hopefully releasing the hung up edge of the rotor/drum. A cam at the top end of the parking brake shoes is connected to the parking brake lever. When pulled it spreads the shoes apart at the top, much like the star adjuster does at the bottom, locking the brakes.
That's basic drum brake technology. A little complex for a parking brake but that's what we've got.
Try the passenger side. Maybe it'll come apart easier and give you a look at the inner workings.
My parking brake shoes were like-new when I did my brakes so I didn't replace them. I did adjust them though. Pulled the parking brake lever up a few clicks, jack-standed both rear wheels, and adjusted the star adjuster, (clicking), to a slight drag as the wheel is turned by hand, (in neutral).
There are parking cable adjusters at the base of the parking brake handle that might need to be adjusted after it's back together, and after the star adjusters have been adjusted. Console has to be loosened/removed to get to them. Turn each equal amounts as you adjust.
Also check for a "keeper washer" on one stud per rotor. Maybe you've got one hiding in the rust and dirt keeping the left rear rotor on. They're just there to keep the rotors from being knocked off during construction.
Good luck!