No, just Sharingan and Mangekyo Sharingan.
Nagato give pein the rinnegan
You really think Konan has the Rinnegan!? Just for a simple saying , no , Konan does not have the Rinnegan as only Pain(Nagato)has the Rinnegan ever in the Ninja World.
Even they haven't fought each other but definitely Madara is stronger than Kakashi. Kakashi has the mangekyou sharingan whereas Madara has the eternal mangekyou sharingan. Even Madara said that Kakashi's techniques won't work on him.
He doesn't even have the Rinnegan
Nagato is the first user of the Rinnegan in naruto
Kakashi reveals that the Rasengan is an incomplete jutsu as he is not able to combine his own elemental chakra affinity into it, just as it's creator, the Fourth Hokage couldn't do. He then presumes that Naruto might be the first one to be able to do so. Kakashi reminds Narutothat creating a technique requires combining nature transformation with shape transformation. By completing hisWind Release training he has the former, and since he can already perform the Rasengan he has the latter. Naruto concludes that creating a new technique will be easy since he has already mastered both components, but Kakashi corrects him by showing that he can also use the Rasengan. Combining nature transformation with the Rasengan was too difficult for Kakashi and the Rasengan's creator, the Fourth Hokage. Kakashi is confident that Naruto will succeed where they failed. naruto shippuden #75+76
Nagato was the owner of the rinnegan. He used corpses to mure the rinnegan with dead bodies to fight for him. The body of Yahiko was one of them.
no, naruto has not got a rinnegan or any other eye technique
It still is Rinnegan, so yes.
Yes. The real Madara Uchiha discovered the link between the Sharingan and the Rinnegan, before his death. The Rinnegan is an advanced form of the Sharingan, and he was able to awaken that ability.
Nagato is Pein, so if he was Pein, then Pein would already have the Rinnegan.
He was born with it. The Sharingan is a family trait passed down to some members of the Uchiha Clan.