This is quite difficult but the cowry could be a Cypraea interrupta or Cypraea curica blaesa??...well its beautiful...however please do keep an eye on it since many Cypraea are carnivorous and feed on coral polyps among other things. Personally I do have three cowries, two species, and I know they can do it, but so far nothing ever happened and they are happy eating algae.
Concerning the round thing, it could be a snail protection since you write it doesn't move....still its difficult to identify, so could you please take and post some more photographs taken from several angles and the same also for the Cowry ? Thank you