All parameters are zero? Even ph, mg, ca, kh, 02, Fe, PO4, temperature?
Seriously, I'm not having a go here but we need to know what you've tested for as well as the results. Although in this case the new additions to the tank would appear the most obvious cause.
I've learned the hard way that quarantine for marines is virtually essential. The fish stores all have huge UV systems which are excellent at preventing an outbreak but dont cure the diseases that most fish carry in small doses in the wild. Once in a contained system the disease concentrates to deadly proportions. UV is also a good idea, especially if you plan to have a reef.
This is white spot:
You cant treat it in the main tank without killing all the live rock and making the tank permanently unsafe for invertibrates (inc coral)
You need to quarantine all the fish, treat them with a copper based medication and leave the main tank free of fish for 8 weeks. Reef safe medications don't work, and aren't really reef safe!
This is Oodinium:
Another parasite and treatment is similar to white spot. quarantine all fish, copper based med and leave tank fallow - although I think it has a short lifecycle to white spot I'm not certain. Reef safe medications don't work, and aren't really reef safe!
Brooklynella:
Brooklynella is probably best described as white spot on steroids. It's the rambo of the parasites and cant be killed with copper. Visible symptoms are the white spots, increased mucus and slime and the fish develops rapid breathing and lethargy. If it's this you need to treat all the fish in quarantine with formalin, however you often get less than 48 hours from first symptom to death.
With all these if one fish shows signs then all fish are infested. A photo of the fish would help.