Thank you to all who chimed in on my question!!

I first tried vinegar with absolutely no luck whatsoever.

A long time ago, I had a conversation with Rickshaw (the one with the opulent Green Dragon) about my faded, stained hood insert. He told me to buy a bottle of Meghiars Cleaner Wax and with a lot of elbow grease work it into the insert. I doubted that it could help but he was right. It looks beautiful now.

So when you all mentioned cleaner wax, I found the bottle i used on the insert and gave it a try. I had to work very small sections at a time but the spots dissolved and disappeared. No ghost rings - no nuthin'.

A big thanks to you all for your help! Thanks VXR for the tip on CD's and DVDs!