Yep.. Zoo's or Button polyups or Zooanthus, all one of the same in your first pic. The second pic they are mushrooms of some type and color. They are all filter feeders and can be supplemented by a variety of different things. Some people feed phyto or Zoo plankton, mysis, cyclop-eeze, marine snow. Some people dont feed them anything and let photosynthesis take care of it all along with their waters trace elements.