Você fala português? assim fica mais fácil, pois meu inglês é muito ruim... (do you speak Portuguese? these way is easier, because my English is very poor...)
Here in Brazil people call Finegrape or Frogspawn corals of the species: Euphillia divisa Euphillia paradivisa
Yes, there is a problem with those Euphillia paradivisa. The first one (brown with green tips) doesn't open more than is shown in this picture. This coral have been closed for more than a month!!!
I believe it will die of hungry if it does not expose it's tissue to light.
In the second, green with pink tips, appeared those parasites about 2 weeks ago. It is not opening like it was before...
Here I have a picture of the green with pink tips before the infestion of those parasites...
Desculpe, eu nao falo portuges, solo espanol y italiano.
Do you feed the coral? If so, what and how often?
What kind of lighting do you have?
At times these corals may not extend fully. I have a euphilia paradivisa that is not expanding as much as before. It goes through cycles.
Have you tested your water recently? Ammonia? Nitrite? Nitrate?
I looked in several books for information on parasites that attach euphilia species and did not find anything. I could not see clearly in either picture what you were referring to (white spots?) I zoomed in on the pictures and still could not make anything out.