I agree with Kevin - first is definitely a sponge, probably a Scypha sp. Lots of sponges have "spikes" (or spicules). This is what their 'skeleton' consists of, and is more obvious in some sponges than others. Take a peek at this sponge:
Your sponge is probably one in the genus Sycon, which are calcareous sponges.
The second picture is a foraminiferan. Sometimes white, sometimes red, very common. Interesting in that it is one of the few single-celled organisms visible in a reef tank. Generally stays small, is harmless, will usually stay in more dimly lit area, feeds on suspended organic material.
There is a good pic (toward the bottom of the page), and some info. on these here: