You got Aiptasia in your 2nd pic. Last pic hard to make out maybe some sort of small clove polyps.
Both are in the tank and alive at the moment. I'm a SW noob so I honestly don't know if any of this is good, bad or indifferent. I'm assuming the purple algae is good at least? If I'm to get rid of either of these at the moment, what is the best way to do so and what is the (potential) harm of leaving either in the tank?