I checked out your picture of your tank, and I have never seen colored dead coral. I am not saying it isn't. just never seen. Which lead me to a few questions.
Is the coral real coral skeletons that have been dyed? If they have been dyed, then you should make sure that it is safe for a saltwater tank. They may leach chemicals into your tank that will be harmful to the fish.
Secondly check the coral skeletons for sharp edges. That is to bad part about using coral skeletons in the tank. The edges and points are usally pretty sharp. When a fish swims by it, it can scratch the fish. Which could lead to problems for the fish. and even the tank. If you want the look of corals without having to put live corals in your tank, that is fine. They make some super nice looking plastic type once. They look awesome. The guy at my LFS(local fish store) will put them in with the real live corals the show them just how good they do look. I have even fallen for a few of these.
I am sorry that a few have harped on you. But their point is vailed. You must have gotten some bad info from your fish store about putting fish in your tank so soon. But in reality it is no different that taken a puppy and putting it in a closed off garage with the car running. The poisons and toxins that will build up in a cycling tank, can kill the fish. That is the purpose of the live rock. The live rock houses the good bacteria that will eventually take care of the bad bacteria. That is what the cycle is for. Please take the fish out and back to the store, or to a friends tank if it is already cycled. Once your tank is ready. Then you can slowly add them back.
We are just trying to save your fish, you the money you paid for them and the fustration of fish dying in your tank and you don't understand why.
Meanwhile, while your tank is cycleing, read as much as you can here. Use the search button the research all you can. If you don't understand something, just ask, we are more the happy to help you understand.
Again, Welcome to the site.