Many Amana model fridges have the freezer fan wired through the bi-metal thermostat that is clipped to the evaporator. Either your compressor has a bad start device and that is why it is not cooling, or the compressor IS running and the unit has lost its refrigerant charge. Running compressor with no cooling = buy a new fridge.
Compressor hot, but not running = start relay replacement to get the compressor going. Start Device 8201786