** The compressor and fan both run. The fins are clean. When I touch both sets of coils they are room temp (I expect one set to be cold). **
Yes, as HKestenholz said, one should be cold (around dew point), the other warm. If they are not and the compressor IS definitely running, it has a problem in its refrigeration system. Either it is out of refrigerant or the compressor is not functioning.