If it's only 4 dots, do not panic.
If you can, get a cleaner shrimp (not a good idea if you have any large wrasses, hawkfishes or other fish that prey on ornamental shrimp...). A cleaner will usually take care of a few spots.
Enrich the fish's food with garlic and/or vitamin C. You can get commercial preparations for this, or some use Kyloic garlic liquid gels available at GNC. For the vitamin C I'd use a commercial preparation. Thinking behind this is that it boosts the fish's immune system and possibly repels the parasite.
DO NOT TREAT YOUR DISPLAY with copper meds - you will ruin your tank.
If the fish does not clear up in a couple of days, you may wish to consider a freshwater bath for the fish, 5 minutes in fresh RO or distilled water, to kill the parasites on the skin. Once per day for 5 minutes, until symptoms clear.
If it gets way worse, you might want to consider treating the fish in a hospital tank. Copper is a harsh medicine, but when it is indicated we use Cupramine by Seachem. Again - this does NOT go into your reef tank, but into a hospital tank. Watch water parameters carefully and do test for the concentration of copper with a test kit that will register the type of copper you use. This method should only be used as a last resort.
The best prevention for ectoparasites and disease are good water quality, good diet and low stress. Since you mentioned the fish is new, it probably became infested as a result of the stress and trauma of moving to your tank.
Hope this helps,
Jenn