Without actually hearing the noise myself, it would be hard to give an exact diagnosis. But let me try to clarify what you are hearing. When you turn the rotor, with the star wheel adjuster all the way in, is the noise constant during the entire revolution of the rotor, or only during part of it. If only during part of it, does it occur in the same spot of the rotation each time. Have you checked to see if the disc could be rubbing against the backing plate, this is fairly common, especially in older vehicles. If it is only a slight noise, it is probably nothing to worry about.
As for the geometry of the brake shoe setup, because the star wheel adjuster actually only spreads the bottoms of the shoes apart, (the upper spreader strut keeps the top half of the shoes as a fixed position, until the lever is pulled, the top part of one or both shoes may still slightly contact the drum surface. This, IMHO, would be normal and nothing to worry about, as long as you can't hear the noise from more than 10 feet. It is entirely possible that the wear grove you indicate in the pic was caused by the shoes not being help in the proper position after the previous failed repair. If the shoes are now installed properly, that groove should not be a serious issue.
If the parking brake shoe system fell apart, or one of the shoes broke apart, that could cause damage to the inside of the rotor, and possibly cause the rotor to jam from the inside. If one or more of the shoes are bent, because of an earlier incorrect installation, then it should be replaced. If the surface of the friction material is only slightly damaged, it could be sanded down, and still be used. Even a crack in the friction material, as long as the material wasn't ready to pull free from the shoe, shouldn't be a problem. Remember, these are not your everyday brakes, they are most often only applied when you are already stationary.
For your reference, the factory manuals procedure for adjusting the parking brakes is;
Adjust the star wheel outward, to spread the shoes, until you can no longer turn the disc, the back off about 8 clicks on the star wheel. Once that adjustment is done, and you still have too much pedal play to get the parking brake to set, then an adjustment to the cable assy. may be necessary to get the proper amount of pedal depression to apply the parking brakes.