your ground wire from the stereo

Try rotating the tire to see if the noise changes.

Hello
If you have eliminated the possibility of road noise from choppy tires I would still suspect a bad wheel bearing. You may not feel play in the wheel bearing as you wiggle the wheel off the ground. You also may not hear the noise up in the air as you spin the wheel by hand. you should be using an automotive stethoscope listening to the back side of the hub, while someone spins the rear wheels for you. Compare the noise made from the right to left sides to diagnose. Some wheel bearings may not make noise unless they are loaded from the weight of the vehicle. Hope this helps.
Joe Boulay
Automotive Technician & Author
joe@joeboulay.com
www.joeboulay.com

get that tire off the car that has the unusual wear pattern an see if the noise is gone. However, I often see tires that wear with rhythmic spacing patterns that you can feel when rubbing your fingers around the circumference of the tire. These patterns seem to develop mostly on the rear of a lightweight front-wheel drive car and I would mostly see it on Goodyear tires, but I see other brands do it also. Too often, when inexperienced mechanics see this, they go blaming the struts when there is nothing wrong with the struts (at all) and the cause is completely with the type (and maybe brand of tire also, not sure) combined with the lightweight vehicle. If you remove the tire from the vehicle (or at least rotate it to the front) and then the noise is one or it is now noisy in the front, then you have discovered your cause. If the noise remains at the left rear then you have a bad wheel bearing there.

There are no rules here regarding how to get out of a jam like the one you detail. You use any and all methods. If you absolutely cannot get to the spinning nut that broke the weld, that may mean that you use a sawsall and gut the bolt or that may mean you make a hole adjacent to the spinning nut and then use a vice grip to hold the nut from spinning. There are so many hundreds of complications that we run into as mechanics and there is no substitute for a mechanic seeing with his own eyes the problem you are detailing to receive advice on what to try first. That being said, figure out a way to prevent the normally stationary nut from spinning. There are no rules.

Sounds like your power steering is not working. First thing to do is to check your power steering fluid level. If this is low, then get the right power steering fluid and add to the full line. If it is way low, you may need to add more after the engine runs for a while. If the fluid level is fine, then check to see if the pump is working. With the engine running, look into the fluid reservoir and look for any fluid movement. If the fluid is moving, then the pump is probably working and the problem probably lies with the steering rack.

Usually the clicking sound is indication of a worn CV (constant velocity) joint in the axle / halfshaft. If worn, then the halfshaft / CV axle assembly must be replaced. Try the many on-line auto parts sources; such as, www.autopartswarehouse.com or www.rockauto.com for the replacement parts.
Check the 'How-To-Guides' feature on the AutoMD website for specific steps to replace the front drive axle.

Rotate the wheels and see if the vibration is still persisted.

I agree with CVO

Several possibilities; faulty / worn wheel bearings, faulty / worn hub bearing assembly, faulty / worn suspension bushings. First step - raise the front tires off the ground - support with jack stands. Next, inspect the front hub / bearing for excess looseness play or wear. Remove the front wheels to gain a closer look.
Replace all worn parts or hub / bearing assemblies. Use the 'How-To-Guides' feature on the AutoMD website for the specific steps to inspect and replace.
Check on-line for the many parts supply sources, such as; www.autopartswarehouse.com or www.rockauto.com for the replacement parts.

Inspect the front wheel and tire for the tread condition; loose / worn. Replace as required.