Update:

I think I have an idea as to what is going on. It's not an answer, though.

So, I took into consideration that these things are old. I decided to use an old drive I had around. I was able to erase and read the CDs just fine on that thing. However, I couldn't do this with the new drives I have. I don't know why that is. The drive I'm talking about has to be about five or more years old. This is a very odd problem, and probably not worth the hassle of keeping the CD-RWs if they can't work well on different systems.

Downdate:

I have a bunch of old memorex CD-RWs lying around. So far, one out of three seems to be working. And, I don't really know why this is. They don't look like they are seriously scratched, so I don't think that's the problem. Yet I don't know what the problem is.

The CDs are suppose to automount, but only 1:3 has so far. Is there a more scientific way via Linux to validate the functionality of these CD-RWs than using an automount?

I tried sudo fdisk -l, but that was limited.
I know they spin inside of the drive.