Gentlemen,
Thank you for your advice. I took into account everything above and the rear brake is now quiet.
I think I stumbled upon a possible and common mistake made when servicing the rear brake. I noticed the spring wasn't making good contact. So I bent it back into shape, put in on the caliper, put the pads in, and when I flipped the caliper over the pads swung around and completely bent the spring again to the point where it wasn't making contact.

And so I took it all apart, bent the spring back (this time heat treated it with a torch so it would hold its shape) and was careful to make sure the pads didn't damage the spring again. I also greased the pins, cleaned everything real good, and use the anti-vibration goo on the back of the pads.
Oh yeah the new tire, so far it's handles great.
