Viaje por Japon

Hello!

My tentative itinerary is as follows ( I accept recommendations, because I can switch the itinerary around without problem). Could you please give me your advise as for what kind of JRPass and extra train tickets should I purchase.

Note: the reason I go back to Kyoto and then to Tokyo each day, is because I will purchase daily private tours with Spanish speaking Guides

1. Oct 29. Arrive Tyo Narita at 06.30am. Bullet Train to Kyoto
   2 Oct 30. Nara. Back to Kyoto. (No need of train)
2. Oct 31. Osaka. Back to Kyoto. Bullet (?) Train
3. Nov 01. Hiroshima Back to Kyoto. Bullet Train.
4. Nov 02. Kyoto (no need of train)
5. Nov 03. KYOTO TO TOKYO. Bullet train to Tokyo
6. Nov 04. Nikko. Back to Tyo. Bullet (?) train
7. Nov 04. Hakone with Onsen. Back to TYO. (No need of train)
8. Nov 06. Tokyo. (No need of train)
9. Nov 07. Tokyo transfer to Airport Narita. Bullet(?) train. Departure to Mexico 16.30
   Many thanks
   Christa