priestlake, is your reefer constanly dripping?
When cooling, I don't think you should have any dripping at all from the fins. Only while defrosting.
There might be a newer version that has a defrost cycle for those fins but I'm not sure about that.
Have you checked the internal temperature? It should be between freezing and 38 degrees. On the right side of the fins you should see a wire attached to a device on one of the fins. That is a sensor for the thermostat. It can be moved up or down to vary the temperature as well as the 1 through 5 settings on the control panel.
If you received an owners manual it's a good ides to read it thoroughly. Lots of good user info in there.