Any chance that you may have some pic's? It may be easier for someone to ID it.
It could be possible that the fungus is a hitchhiker sponge of some sort.
As for the anemone's, I'm not sure on that one. How long has the tank been up and what kind of lights? I've read that anemone's should be a mature aquarium. I haven't added any yet, so I'm not sure how true that is.