Here is a Google search on coral diseases. May help. One thing to keep in mind, wild diseases may be very different than what they pick up during transport in captivity. Though there may be something relative to what the gorgonia is experiencing.
I or anyone else cannot be at all positive about the recovery of this coral.
The nitrate levels are fine. 05 ppm
is actually OK for reef. That'll allow macro algae to have something to eat
The tank is too new and being it was moved, is still too new for sensitive animals. I have seen a lot of things online stating these gorgonias are good starter coral, but they are NOT. This is a deep reef coral that do not like light and must be fed everyday. It can be target fed phytoplankton on the off days of feeding the rest of the tank. This is done with a turkey baster type or syringe and the food is pushed right onto the coral. Do this mainly toward the evening. Most deep reef coral are nocturnal feeders, but if the polyps are out during the day, then by all means give it some food
Check to see if this species requires an iodine suppliment.
Here are a couple of photos I doctored so you can see where to cut. If you do not cut the bad areas, the infection that is overcoming the coral can spread.
NOTE: Instead of bleach water as I mentioned before to sterilize a pair of small sharp scissors, use rubbing alcohol instead. Faster and easier. Rinse it well prior to use. Handle the coral by it's base and remember to wear thin hugging to your hands gloves...like surgeon gloves. If you do not have access to gloves, then a sandwich baggie or a piece of cellophane (some kind of thin plastic that doesn't have any coloring) over your hands to protect the coral.
Here is the reef dip I mentioned in the other post. Use this to treat the good pieces. Any bad pieces that may not be eaten all the way through could be put into a QT type to see if anything heals. The good pieces can go back into the main tank straight into the substrate in a shady area with good water flow.
What kind of rock is that do you have it set in???
What is the SG
and temp. of the tank?
What are the values of calcium and alkalinity?
What kind of camera do you have? Nice shots!!