Sweet looking Rose bubble anems! Cave polyp is probably your clove polyps. (Nice ones too btw).
Sidenote:Sun corals are completely unconcerned about lighting. They open up to feed based on sensing food in the water. Light has nothing to do with it. In fact the only impact light has on NPS corals is that it can cause algae to overgrow the corals.
You need to use the territoriality and personal space required by your fish to determine how many you could add. There is no formula that is reasonable to use. And you sure do not want to put five fish in that tank that are four inches long. (You dont want to put any four inch long fish in there).
You need to start reading about the behavior and aggressivness of the different species of fish.
I would NOT recommend: Damsels, Grammas, sandsifting gobies, most wrasses, angels, dwarf angels, TANGS, anthias, butterflies, crabs, starfish or anemones.
I WOULD recommend a mated pair of clownfish (they do NOT need anemones to be happy), coral gobies, neon gobies, flasher wrasses, fairy wrasses, firefish, cardinals and softy/LPS corals