Stovetops again

Question

So we don't have to kasher the stovetops because it is not used for cooking food. 1)How about those stovetops that have a warmer built in? 2)If boiling hot hametz (ie. pasta) fell on the stovetop, isn't this a problem? Aren't we afraid that if we drop our kosher for Pesach food on the stovetop, we may pick it up and put back in the pot. 3) What about the burners?

Answer

This question was not answered.