I DO NOT recommend cleaning the stainless steel carafes with automatic dishwasher detergent of any kind as I tried this method with soaking it with boiling water and dish washing detergent overnight and my coffee carafe had a terrible taste and odor of the dishwashing detergent for several weeks thereafter. And yes, I washed and rinsed it out thoroughly afterwards to remove the detergent slime residue. Researching alternatives I decided to try the Oxi clean method since it is made from natural ingredients. Also, I achieved total success in a few minutes with no scrubbing or soaking, it was literally like magic! Here's what I did: first I put a kettle of water on the stove to boil. Then while waiting for the water to boil I filled my carafe with the hottest tapwater available at my kitchen sink to preheat the carafe. Once the kettle of water reached boiling I emptied the tap water out of the carafe poured in 1/4 cup of Oxsee clean powder into the carafe then immediately began pouring the boiling water from the kettle into the carafe. Important this must be done in the kitchen sink or over the sink. As I was pouring the boiling water into the carafe, The Oxi clean began to foam so much so that it began to overflow out of the carafe and into my sink. It was nothing short of a science experiment! I observed the foaming action and streams of brown gunk were coming out with the overflowing foam. I happened to have the carafe lid in the sink so I allowed the overflowing foam to pour on it and into its innards where the coffee flows through and dark brown solution came out the opposite ends of the lid so I knew it was getting cleaned as well. A minute or so later The foaming began to subside and I noticed the carafe was only about a third full and it looked pretty clean and so I put my dish wand (one of those sponges on a stick you can buy at a grocery or big box store) inside and swirled the solution around to insure complete coverage. I poured the remaining solution through the carafe lid to further clean it then I rinsed the carafe with water and it was amazing. Perfectly clean and did not smell like soap or anything. I did give it a wash with the usual mild dish soap just to make sure any residue was washed away. I was absolutely amazed at the results and I even was pleased that I could get the innards of the carafes lid clean throughout where the coffee flows through. No soaking or scrubbing was necessary. My carafe was a medium brown color inside to begin with and I wonder if this method might need to be done twice on those that have so much buildup that they are almost black inside. In any event, I'm sure this will help any situation and best of all there is NO detergent smell or taste left behind to ruin future coffee flavors. I do recommend using potholders when pouring the boiling water into the carafe just in case the hot Oxi clean foam gets on your hand while holding the carafe you don't burn yourself. This is SO MUCH better than using automatic dishwasher detergent of any kind.

I can help with the brown spots around the burners. I found the advice in the owner's manual for my GE Cafe range. Make a paste of baking soda and water and rub it in on the spots. It may take some elbow grease, but they will come out. I waited too long to clean mine and it took a few attempts, but the range now looks like new! Good luck

You need to find out what the model of the cooktop is. Armed with that information you will be able to find out if replacement tops are available.

Can I just say that whenever I try to discourage people on this forum about a downdraft (when they have other options like in new construction or a complete reno), I mention downdrafts are hard to clean, and that the grease exits under the floor, but then where does it go. I get back...nothing. Generally I am ignored when a poster is determined that downdraft is what they want--because a ducted hood is just such awful choice by comparison (sarcasm there).