Rinne rebirth jutsu is a forbidden technique unique to all rinnengan users which is used through the Outer Path- Samsara of Heavenly Life. This allows a person(or people, depending on the amount of chakra used) to be brought back to life in exchange for the the user's own life force, hence killing the user.
According to the Data Books, the user will inevitably die. However, judging from Konan's reaction to the jutsu's mention, Nagato could've been an exception. So the answer is simply no, only exceptional shinobi can survive the Rinne Rebirth.
When written as '輪廻転生', Rinne Tensei means "the circle of transmigration" or "metempsychosis". Hashirama Senju identified this technique as a Six Paths Kinjutsu (六道の禁術, Rikudō no Kinjutsu, literally meaning: Six Paths Forbidden Technique).
In Nagato's case, his soul went to the afterlife (thus why he was able to come back with Edo Tensei). So, Nagato CAN use the Rinne Rebirth Jutsu while he is a Reanimation. It's only a matter of whenever he wants to use it or not, because if he does, his soul goes back to the afterlife.
Sasuke exhausted his chakra to protect those who remain alive. Hence, at the end of the war, he does not know how to use rinne-rebirth and he does not have much chakra to try it out. He cannot sacrifice his life as he was already in a dying state.
Uchiha Madara's plan A for his revival was to make Uzumaki Nagato use Rinnegan's revival jutsu (Gedo Rinnei Tensei no Jutsu). However, when Nagato used this jutsu to revive everyone in Konoha, he mentioned that he cannot revive everyone. He can only revive those that only recently killed as shown in the picture below.
Madara was unable to use Rinne Rebirth as an Edo Tensei because of the requirements. Rinne Rebirth requires you to pay the heaviest price: your life. When Nagato used it, by sacrificing his life he could open the doors to the Pure Land and summon back the souls of those recently killed when he attacked the Hidden Leaf.
Notice that Nagato also wasn't able to revive Jiraiya when he used rinne-rebirth. He was only able to revive those who had just died that day. Same applies to Sasuke. By the time Sasuke learns rinne-rebirth, it would have been too late for him to revive the war victims, because too much time would have already lapsed.
The simple reason why Nagato didn't bring Yahiko back to life was because he didn't wanted to do that. When Yahiko died his last word were “You are the savior of the world”.
Yes Obito can use Susanoo. 1st he acquired both of his eyes when Madara gave him his left eye. Before that he never had two eyes at the same time. 2nd Kakashi unlocked Susanoo at the same time he acquired DMS(double mangekyo Sharingan).
Also, as far as I know, Obito never knew the reanimation jutsu. But when they were part of team Minato, they were young. So when they were fighting and Rin died, they couldn't take her body with them. So at that time he didn't posess enough chakra to revive her even if he posessed the rinnegan.
Konan didn't destroy them because of plot and I would hope she wasn't arrogant enough to think she could kill the legendary Madara Uchiha (that's who she thought she was fighting at the time) when Hashirma couldn't and he's living way past his supposed "death".
The reason has been explained both in the anime and the manga. The earlier versions of reanimation were far weaker then the perfected ones used now. Simply put, the old reanimations were simply weaker in everything compared to the originals or the newer versions of Edo Tensei.
Obito Uchiha, because he has control over the Senju cells he uses, is able to keep a single Izanagi active for significantly longer than Danzō. As with other Sharingan-based techniques, Izanagi can be programmed to activate under certain conditions.
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