NM that first coral is a fire coral, DO NOT TOUCH IT!!!!, and if you do, either blow it with a powerhead or fan wate ron it with your hand, this will retract the Medusa Stingers (its polyps) it is a species of Millepora, usualy found in very shallow waters, normally a very fast grower, there are many type of them, unforunatly yours is the most lethel. if stung the mound withh swell and burn for days, cold white vingar will slow the pain and lessen the swell (same with jellyfish) if stressed or dying they will relase their stingers intot he water colum, when these plant a new coral will grow, they may also grow on corals. a guy at the LFS had one in their display tank, a stinger landed on their Oregon tort......the tort is no more. they are my personal favorit corals, i have the same species as you, but am trying to find a Box fire coral which has great growth formations. all fircorals are either Brown, light pink or deep red. no toehr colors.
Once when i was diving, the currnet took me and threw me against a colony of fire coral, it cut a gash in my leg, and it swelled so bad that the skin on the edges where riping from pressure.