I hope to stave off bashing from a misdiagnosis. After examining the thread carefully, you are dealing with Marine Velvet not Brooklynella. Don't know what I was thinking. I guess I was going by the first picture alone.
Velvet (Amyloodinium):Symptoms - Because velvet can be such a fast killer...
First, welcome to the family at Reef Sanctuary. Your skimmer probably isn't producing because their aren't any proteins to fractionate. Tell us a little more. How are you introducing ammonia and how far along are you on a competent nitrogen cycle?
Your fish have Brooknynella. Sorry. Here's a very good article:
Look on the same link on how to treat it. It's, sorry to say, a common disease for clown fish.