name these corals

Under the guidance of my ex husband we maintained a lovely 75g reef for over 6 years and he taught me ok. I know what goes with what, which pieces are harder to keep etc but I can never remember the names of anything!

So here are some the unidentified pieces I chose and I'd like to know their proper names.
Also, what appears to me to be brain coral... a little difficult to appease. Would it be happier up high closer to the lights or down low in the sand bed?
Thanks!

 

Duncan, Mushrooms, Favites, and a Ricordea Mushroom (not certain on this last one, as the photo quality is a bit blurry, but I'm pretty certain).

As for a fleshy brain coral, low on the sandbed is best.

 

Duncanopsammia axifuga. Likes to be spot fed shrimp about once a week. Medium light and water flow.
Corals of the World Factsheet and images - Duncanopsammia axifuga


Red discosoma muchrooms. Less light, slow to moderate water flow and warmer temps.
Discosoma sp. (mushrooms) - Aquarium Coral Profiles

Favites pentagona. Medium light/ non-direct, decent flow, spot feeding helps.
Corals of the World Factsheet and images - Favites pentagona


Last is Ricordea florida. Medium light, good water flow.
Species Profile

 

I do feed the first one! It's gotten bigger in just a week and loves mysis shrimp!
Thanks for the info on the fleshy brain too. I love this piece and want it to flourish.

 

ok one more

didnt have room for this in the uploader.
These polyps hitchhiked onto some live rock.

 

Those are called button polyps and are a species of Zoanthus.

 

Protopalythoa sp. Difficult to kill. I would not let them spread to anther rock that has other coral on it.
Green Button Polyp, Protopalythoa mutuki, Button Polyps Information and Zoanthid Care