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For your cyano, siphon it out with airline tubing. Continue water changes with ro/di water. Cut back on feeding, I only feed my reef tank twice a week.
No, your coral has polyps. You can see them in the first pic working on opening up. Only other guess would be a flowerpot, but never seen one open like that.
Well, if it is an LPS I'm at a loss. Thought at this point I'd have dealt with it all! Lol. You can see the polyps, but I don't know of ones that look like that that extend like is shown in the second pic.