日本 itinerary, please help

Hi there,

Thank you a lot for selling me the JRPass and sending it to the Hotel Toyo in Osaka, where I will pick it up.
I have put together an itinerary and would appreciate it a lot, if you would have some feedback.
Its my first time in Japan, I am young, and would like to make full use of the 21day rail pass.

9th June -- Arrive in Osaka Kansai in the morning, visit Osaka, Stay in Backpackers Hotel Toyo
10th June -- visit Kyoto from Osaka Stay in Backpackers Hotel Toyo
11th June -- activate JRPass, visit Kyoto from Osaka Stay in Backpackers Hotel Tokyo
12th June -- visit Kyoto from Osaka Stay somewhere in Kyoto
13th June -- Daytrip to Nara, back to Osaka Stay in Backpackers Hotel Toyo
14th June -- morning visit Osaka, noon Otaue rice festival Stay in Backpackers Hotel Tokyo
15th June -- go to Mount Koya
16th June -- go to Kanzawana
17th June -- Kanzawana and go to Shirakawa- go
18th June -- Shirakawa- go, go to Takayama
19th June -- Takayama
20th June -- first go to Ise shrines, then get to Kinosaki will it be possible?
21st June -- Kinosaki, and get to Himeji
22nd June -- Himeji Yakata Matsuri parade and castle
23rd June -- early morning train to Nagasaki
24th June -- morning Nagasaki, go to Hiroshima peace park, get to Miyajima
25th June -- Miyajima and get train to Tokyo
26th June -- Tokyo
27th June -- Daytrip to mount Fuji
28th June -- Daytrip to Nikko
29th June -- Daytrip Kamakura
30th June -- Tokyo
1st July -- Tokyo, flight back on afternoon from Narita airport

Looking forward hearing from you, because it will be my first time in Japan and I don't know too much.

Thank you very much in advance,
Sebastian