That's cause you're from California, lol.
Those are a type of hard coral that are very typical on that Florida rock.
Nice to look at but tough to keep alive. Various names they give are
cup coral and tube coral. Don't search cup coral, though, you won't get
the right item, lol. Check out Tampabaysaltwater.com and they have a
gallery of the various critters that live on that rock. The long tentacle
animals seem to be the "cup" coral, and the yellow ones should be the "tube'
corals. I am not happy with their names, but I am sure you just want to find
out more about what you have, and maybe the names are irrelevant
http://tampabaysaltwater.com/thepackage/organisms.html
As it stands now, you seem to have living organisms. You will need to feed
some kind of phytoplankton on a semi-regular basis to get them to survive.
Since that rock should also have a fair amount of barnacles, there are even
more reasons to feed this philter-feeder food. But even then it is an uphill
struggle. Good luck keeping them alive. The anemone looking things should
have no trouble making it, though