10 Day Travel

Planning on taking a trip to Japan for a total travel time of 10 days. The trip will take place Nov 22 through Dec 1st. The trip will start out in Tokyo and end there as well. I would like to make the following stops along the way:

In order...

-Tokyo ( 2 days )

-Mt Fuji Five Lakes ( 1 day )

-Kyoto ( 3 days )

-Osaka ( 2 days )

-Hiroshima

-Possibly Nagasaki

-Travel back to Tokyo -FLY OUT OF TOKYO on December 1st ( evening )

Everything is subject to change as this is a rough draft.
Is this trip possible using the JR pass? Also any recommendations on what to see and what to skip? Any lodging recommendations?

Thanks!