14 days in Japan

Hello,

I plan to take a trip in Japan in September and would like to know if it is worth it to buy a 14 day JR pass.

Will this JR pass work for the following trips:

1. Haneda Aiport to my accommodations in Hachiōji, Tokyo (close by Minamiosawa Station of Keio Line)
2. Hachiōji, Tokyo (Minamiosawa Station of Keio Line) to the major sight seeing stops in Tokyo (Shinjuku, Shibuya etc)
3. Hachiōji, Tokyo to Hida Takayama
4. Hida Takayama to Kyoto
5. Kyoto to Osaka
6. Kyoto back to Hachiōji, Tokyo
7. Hachiōji, Tokyo to Mt Fuji
8. Hachiōji, Tokyo to Yamamoto

Thank you,