9 days in Japan - Tokyo-Kamakura-Hakone-Kyoto-Hiroshima-Nara-Tokyo

Hello all, I planned on getting a 7 day pass and start it leaving Tokyo. It would be really helpful if you checked my itinerary. Plus, It would be great to know how long the train ride would be. I have some difficulty figuring out what trains go into the pass and how long they take.

Arrive July 31st late at night in Tokyo

Aug.1st
Tokyo

Aug. 2nd
Tokyo

Aug.3rd
Early train to half day in Kamakura
Travel from Kamakura to Hakone

Aug. 4th
Day in Hakone
Travel to Kyoto

Aug.5th
Day in Kyoto

Aug. 6th
Travel to Hiroshima

Aug.7th
Travel to Nara for half day
Travel to Tokyo

Aug.8th
Last day in Tokyo fly out

Does this all make sense? Nara is after Hiroshima since I am traveling with another couple and we are parting in Hiroshima and they had no interest in going to Nara, while for me I am looking forward to it. Thank you!

Kristina