Re: 3rd Rinnegan
this was explained a long time ago:
there exists only 2 rinnegan eye's at the moment. one is in tobi's head, the other is in storage. they originally were madara's when he awakened them, later he put them in nagato, and when he died tobi stole them back to bring them where they are now.
all other rinnegan are formed because of the edo tensei or because of the heretic path technique in creating the six paths ...
edo tensei rinnegan are nothing more then dust, the soul is the one that holds the power and the dust just creates a suitable vessel for channeling that power. if an edo tensei eye would be taken out it would fall appart and just regenerate inside the edo body
the rinnegan from the heretic path techniques are different. from the autopsi images at chapter 406 page 4 it's clear that the rinnegan remains in the heretic paths after it's been disabled, but I doubt these are usefull as real rinnegan. not one of those body's displayed more then 1 ability of the rinnegan, none of them did any chakra nature techs so I'm guessing they can not be qualified as true rinnegan since their power is sevearly limited. it's unknown if they are transferable but I doubt it.
and on the state that an edo tensei is revived in question, I guess that depends on the controllers choice and is by default the way they were before they died.