The first photo is either Favia or Favites , it looks too imature to tell at this point, once it starts maturing you can tell by the corallites, if they share a common wall between them or if thaqt wall is seperate. Favia has the seperate walls. The good thing is the care is the same whichever it turns out to be, it will feed on Zooxanthellate, DT's, brine and small diced meaty stuff. These do like a good light source so if using PC's or VHO's keep it toward the top. They like to feed at night also and will look like a fuzzy tennis ball (this is normal) it extends its feeding tenecles at night.
The second photo is hard to tell, any more info on it? Are those fingers whole or are they seperate like a feather duster? Could be some sort of hard worm ( like a Coco Worm, its not a Coco worm though)