10 Day trip - 7 or 14 day pass?

Hi,

I'm planning a 10 day trip to Japan in October and I'm a bit confused in terms of transportation. Below is my Itinerary:

Day 1: Haneda airport to Tokyo. Explore Tokyo
Day 2: Hakone (stay in Hakone)
Day 3: Kamakura, Enoshira and back to Tokyo
Day 4: Day trip to Nikko from Tokyo
Day 5: from Tokyo to Kyoto
Day 6: Kyoto
Day 7: Day trip to Miyajima and Hiroshima
Day 8: Nara
Day 9: Nara and Osaka
Day 10: Osaka
Day 11: From Osaka to Tokyo and stay in Tokyo
Day 12: Tokyo to Haneda Airport

Will it be enough if I just buy a 7 day pass and use it from day 5 to day 11? Or will it be more convenient to buy a 14 day pass and use it for the whole duration of my holiday? Which option would save me more money?

Thank you for you help!