I'll assume that it was an Entomologist (although they tend to stick to land..) that did the taxonomic ID for you and the Anthropologist weighed in on the 'pods social and cultural development...sorry
I'm sure that we all have parasitic species in our tanks since 30+% of 'pods are parasitic but we only tend to hear about the ones that commonly cause significant harm (red bugs, black bugs) the same way that we worry about bed bugs or ticks in the woods but don't even think about the little guys that are living in our eyelash follicles feeding on oils right now....
Nonetheless, in the artificial environment of our tanks, relatively harmless species can blossom (as it appears in your case) and become pests. (lack of natural predators, lower flow, etc). If you want them gone, milbemycin oxime (sold as interceptor for dogs, also used for parasites in cattle) will kill anything with an exoskeleton. It has been tested for parasite control in commercial mariculture (salmon lice) and is harmless to fish, algae, cnidarians. Search the name and I'm sure someone has worked out dosages for aquaria or there may be a commercially available version for reef use.
Chances are that the parasites are species or family specific (why they haven't spread), so you can probably just dose the affected coral in a QT tank, but if they haven't been causing harm or retarding growth, a simple change in flow or lighting may reduce their numbers to a more aesthetically acceptable equilibrium...
Your dragonet is probably too wary of being stung by the frogspawn to go near them...
Re: personal experience...Mom was a research biologist (genetics) for Fed. Gov. fisheries research board...she cultivated "bad things" in her systems, then tried to kill them...