12 1/2 Day Itienrary

Hello, Can you please advise if I am cramming too much into my itinerary and whether I need to add / or omit a city. Also Would I need the 14 day JR pass as the most economical & fastest option.
1) Tokyo (1.5 days)
2) Nikko Day ( 1 Day)
3) Hakone - Lake Ashinoko (1 day)
4)Kyoto (4 nights including day in Nana)
5) Himeji ( passing through - short visit while on route to Miyajima)
5) Hiroshima (short trip while on route to Miyajima (1 night)
6) Kanazawa ( 2 nights)
7)Takayama 1 night
8) Tokyo ( 1 night)

Thank you.