10 Days 6 Places

Hi,

I am coming to Tokyo in 3 weeks and need to decide whether I need a JR pass or not as per my itinerary.

Tokyo.
Kawaguchiko [ Its a day trip. For this I will be taking the highway bus. So JR pass is not needed]
Tokyo - Tsumago
Tsumago - Kyoto
Kyoto - Nara - Kyoto [A day trip]
Kyoto - Naoshima [A day trip]
Naoshima - Tokyo

Also, is the pass valid within Tokyo on trains as well? What all trains are included? What is most suitable and cheaper for my travel? A JR East pass or a JR Nation pass?

Your help is much appreciated.

Thank you.

NZZ