1962 Flair Range Restoration
Better you than me Paul, The cook-top is just brushed chrome, so they tend to rust away, in fact I dough that there is any SS anywhere on these ranges. Usually the area around the Heat-Minder burners survives better because you can't cause the HM burner to run so hot as a regular burner.
The wiring on FD ranges can be a mess, the broken wire going to the outlet probably just broke from flexing, very common. Usually the best way to clean the cook-top assembly is to take it outside and spray it with oven cleaner, as long as you don't use it on painted or aluminum parts it will not hurt anything.
Keep us posted, let me know if you need electrical parts.