You can remove the entire coral from the plug with a small scalpel, then super glue or epoxy it wherever on the rocks. Some will just snap off with no tools, but you risk brea If going on a rack, leave it on the plug, or put it on a new plug.
As far as placement, it depends on the coral. Try to google their names and figure out flow and lighting requirements. Looks like you have some sticks, which require more of both than LPS and softies. I know nothing more than that on acropora though.