Hi,Welcome to Just Answer, My name isXXXXX will be helping you with your appliance issue today.
first off its not the ice maker its the freezer not being cold enough, the frost on the back panel means you have a defrost problem, when this happens the freezer rises above the temp it needs to be to produce ice, the freezer needs to be between 0-10 degrees for the ice maker to cycle, thats your issue, you need to defrost the freezer and find whats causing this not to defrost, most likely in your case its the defrost thermostat,
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I already intend to change the defrost timer, heater and thermostat. I am ready to order the parts. Do I have to tear the have to get at these things from the inside of the freezer or can I get at them from the back or a different way?
And then the ice maker is going to work?