I hope you did some kind of dip before placing them in your tank. I have had them look as you describe and come back. I have also had them die. Place them in a high flow and hope for the best. Also check for any type of critters at night after the lights have been out for at least an hour...
I would recommend Tropic Marin. It is an iodine based dip that is good for all corals, SPS, LPS, softies, zoas. Just don't use it for clams. I dip all of my corals prior to putting them in the tank.
If you don't see any type of snails or nudibranches, I'd just leave them be. Zoos can sometimes act a little weird for a couple of days especially when they have just been added to the tank. Keep us posted if things get worse.
Flatworm exit is a good dip to put your corals through, but once in the system, if you don't know how many you have, they could be potentially dangerous. At least that is what I hear. Once they die the give off toxins.
That sounds like the dreaded SPS flatworms. I'd try and get rid of them naturally. Try a sixline wrasse first and see how that goes. There are also nudibranches out there that only eat flatworms. Once they're gone the nudi's will die. Just a couple of thoughts.
Most, if not all, montis will be fine. Just be sure to feed your tank as well. For instance, use some rotifers every once in a while for the SPS and some copepods for the LPS. They love that stuff.
Try some cerith snails and/or nassarius snails. Both do wonders for the sand bed. The ceriths will eat algae type food, while the nass will scavenge for food particles and detritus.
Maurice - I have had the sun coral for about 4 months now. I feed it twice a week.
Tizzo - Thanks for the compliment. I hope I can keep this thing healthy. I have no connections to the Charlotte area, but I will keep that offer in mind. Thanks
Escape - The tank has been up for about one year...