I am sorry but there are so many factors here and none of them are good.
I feel there is way to much (big) livestock in such a new tank with such a small amount of rock. It's the surface of the rocks (and gravel) that hold the bacteria that filters or cleans the water and converts ammonia, nitrite and eventually nitrate.
You hosed off the rock to eliminate cyano. Big no no. Leave the rocks alone and embrace the cyano as it is normal and natural. I still have it and my tank was set up when Nixon was President. He was after Lincoln. Fresh water has no place in a salt tank.
I realize your tank tested zero for ammonia. That is because ammonia is constantly being processed into nitrite, but in your case, not fast enough. By the time you test it, it is gone.
Cycling only means the tank has the capacity to convert wastes from whatever you added to cycle the tank be it a dead shrimp or can of cat food. Adding bottled bacteria IMO is useless but I am still on the fence with that.
Your moray eel didn't die because moray eels are very hard to kill. They can live on damp sand for days so don't need to much clean water and they can take some oxygen from the air. In the tropics, you can see them slithering all over the rocks in search for crabs.
As some said, a regular UG filter as you have it set up won't work long in a salt tank. But your tank is to new now to have a problem with that. You will have a problem in probably less than a year with it unless you reverse the flow and run it very slow. About 150 GPH down each tube.
I feel you also have to much gravel in there for a UG filter. A little less would be fine, if reversed.
Remove any filter material in your canister filter and if you like put large rocks in it just for bacteria. Don't clean it. Don't clean your rocks or gravel no matter what grows on it. That growth you see is life and it is whats needed in your tank.
Wait at least a year before adding moray eels, large triggerfish, lionfish or any large predators that make much more wastes than your young tank can handle.
Good Luck.
Here is a picture of a moray eel I took off an outer Island in Hawaii. Notice the growth around him. That is actually a good and healthy thing but you will hear other wise on many of these forums. Of course we don't want so much growth that they cover our corals and look horrible. But a coating on the rocks means health
