Which pass is best for me?

Hello,

I have the following trip planned. Can you advise which rail pass would be most viable for me.
Day 1 - arrive at Narita and train to Tokyo Station
Day 2 - sightseeing around Tokyo
Day 3 - Visit Mt Takao
Day 4 - sightseeing around Tokyo
Day 5 - Tokyo to Takayama
Day 6 - sightseeing around Takayama and the surrounding district
Day 7 - Takayama to Kyoto
Day 8 - sightseeing in Kyoto
Day 9 - Kyoto to Osaka
Day 10 - Osaka to Nara return
Day 11 - Osaka to Hiroshima and Miyajima Island return
Day 12 - Osaka to Odawara to Hakone
Day 13 - sightseeing in Hakone (no JR pass options)
Day 14 - Hakone to Odawara to Yokohama
Day 15 - Yokohama to Narita to fly home to Brisbane Australia.

Kind regards

Karen