SHOLADY,
If the "ring" is in the surface area where the brake pads contact the disk surface, it is most likely caused by a small stone or road grit caught between the pad and the disk.
Try some hard braking while backing up. This will usually dislodge whatever is in there. This "grit" is usually what causes brake pad "squeeking", as well as the "grooves" (or rings)in the rotor.
Do your brake pads have a "wear indicator", that is a metal attachment that comes into contact with the disk when the brake pads are worn to a predetermined point, usually about a 1/16 to an 1/8 of an inch of pad?
These make a lot of squiking noise when they contact the rotor surface. They are intended to tell you when it is time to install new brake pads.
A slight bend in the backing plate could be mimicking a wear indicator by rubbing against the disk, as stated above.
As for the "clicking" sound, while turning, it is a classic CV joint symptom. A visual inspection of the CV joints will only tell you whether or not your CV joint boots are in good shape, i.e. no cracks, rips, tears, holes, splits in the bellows, broken clamp, etc.
Your two symptoms may NOT be related, but rather symptoms of two separate problems. Resolve your brake noises first, then if the "clicking" continues look into the possibility of a worn CV joint. rangerj