The first one looks like a lace sponge to me, and the second one is a flower pot coral or a duncan. Both a very difficult to keep (if the second one is a flowerpot coral). You should place the possible flowerpot coral on the sandbed and you will have to spot feed it a couple times a week with cypolese or similar. For the lace sponge you can try adding some filter feeder supplements, but they really dont do well except in large, well established systems that can produce that food naturally.