Looks like Bizarro Cyphastrea, Spicy Lemon Favia/Favites, and another favia, there are a lot of variations of the favia in that last pic and a million names to go with them.
I’d recommend cutting the stems off the frag plugs and glueing them straight to the rock as all three are encrusting corals. They will spend forever growing all around the plugs as they can’t bridge gaps before they will start growing onto the rock. Sticking them in some epoxy and attaching them to the rocks will make them look more natural much faster.
I needed to find out what they were so I could check lighting and flow before properly placing them. I usually trim the frag stem down to about 1/8" and it helps to locate the frag in the rock.
I’m sorry that no one answered your original question. So you want a name for each of these corals? How about Larry, Curly and Mo? Seems to fit don’t you think?