Coral is a Palythoa.
1. If that's an asterina, it's the biggest one I've ever seen. Not sure what it is, but I don't think it's an asterina.
2. Flatworm... again, seems pretty big for a flatworm. Is it flat? Or does it have any "meat" to it. Almost looks like a stomatella, but can't really tell with that picture. Flatworm = bad. Stomatella = good.
3. Thing on coral - hard to tell, but I'm going to guess it's some type of nudibranch. Only reason I say that is because it seems to be doing a very good job of camouflaging itself and looks an awful lot like the head of the Palythoa. Nudibranches are absolute masters of camouflaging themselves to look like what they live on. Seeing that the Palythoas are partially closed up, I'm guessing it's irritating them (if not downright eating them) and I'd remove it if it's possible. You've probably got more than one.