http://www.thriftyfun.com/tf48866334.tip.html
Check this out - I love barkeepers friend - it's the only thing that keeps me from putting a hammer through this stupid new stovetop. "Easy to clean!" they told me. Lying snakes!

For the counter - it's worth a shot.
http://ask.metafilter.com/58169/Clea...melted-plastic

I claim no liability for any bad reactions, damage, fumes, etc. If anything bad happens, blame Cheryl.