No it doesn't, unless you are an uchiha who unlocked it I believe I am not sure if you would have to change back to your sharingan or if it would work while your rinnegan is active, we haven't seen enough.
I think it does. That's how Pain dodged Kakashi's chidori inside the earth prison, and how the pain's were dodging Jiraiya and Naruto's attacks in their respective fights.
I think if a Uchiha with EMS or MS awakened the rennigan using the Senju's DNA, he might be able to use the sharingan's abilities, i mean if a ninja learns something he can't lose it.
I think it does. That's how Pain dodged Kakashi's chidori inside the earth prison, and how the pain's were dodging Jiraiya and Naruto's attacks in their respective fights.
I believe one was because he stuck a chakra rod in kakashi and nagato's chakra flowed through kakashi distracting him and also shared vision which means they can see attacks from all angles.