Yup to ball tip anemone and there might be some Hydroids which would keep the coral from opening. I would pull it and scrub it off with a soft tooth brush in a coral dip like Revive, rinse and return.
it looks like cup coral to me I have two of them in my tank but they are closed up right now they don't really expand until the evening. Mine look exactly like that they have little white balls on the end. And they have white swirls down there tentacles. Sorry they're not really clear but I try to get as close as I can while they're closed up.
You can actually see another one in the picture you shared on the right side. It looks like you may have two or three of them Hidden cup coral there called here's a picture of mine when it's fully open.