no there metal
No, stainless steel is pretty tough but if you paint a lot you should use a plastic basin to clean supplies.
If it's true stainless steel and not a coating, then yes, you can paint a pool ladder with an oil based enamel paint.
Yes it does.
It's hard to get a paint to stick to stainless. Use an etching primer and then an enamel-type of paint.
The best paint would be car paint, but I doubt that it would be possible (or healthy) with the appliance in the kitchen.
A stainless steel product should be resistant to rust.
Yes, sometimes. The heat tends to make the paint flake off. Type of steel does not matter.
Yes, you can paint SS. Make sure you spray a good primer on it first.
There is stainless steel and there is magnaized stainless steel but you can not make regular stainless steel magnetic