Hmmm, are the star polyps open now? Were they a new addition, or did they just close up one day? It is pretty common for GSP to take a sabbatical from being open from time to time.
The toadstool, is probably acclimating to new conditions. Do not be surprised if it sheds, it is pretty common for this to happen when placed in new surroundings. When it sheds, it will close up completely for a couple of days (usually the toadstool will get very shiney). Then it will begin to open and you will see a waxy film stringing from the coral. Directing a powerhead at the coral will accerate the process.