The first one needs a better pic. Try taking the photos with your blue lights off, and just white lights. It may be Leptastrea or Plesaistrea, or something else. Need a better pic.
The second one is Chalice. I don't follow the designer names, so can't help you with that.
The first one isn't Favia...the polyps/heads are too small. Unless that's a 4" frag plug. :D Maybe Favites pentagona, but the texture doesn't look right.