The Aiptasia looking thing could also be a curlicue anemone. Look at the tentacle and see if it's monochrome, or striped. If it's monochrome, it's likely to be the dreaded Aiptasia anemone. If striped, it's not the dreaded anemone, but could also be undesirable.
The clear-tentacled thing is almost certainly a coral, though I have a hard time looking at your picture. I would guess Phyllangia americana, "hidden cup coral."