With that first picture, if it was me I'd just throw that piece away and not mess with trying to get rid of the aiptasia/bubble algae. With how small it is, it just isn't worth the effort. Bubble algae is difficult to get rid of 100% and the absolute best method of control is to not let it in to start with.
Cabezon... watch out with that "false" peppermint shrimp. If we're talking about a Camel Shrimp (they look a lot like a Peppermint), they are not reef-safe.
[Edit: Too funny... looks like Matt and I were thinking along the same lines at the same time!]