JR pass worth it for my trip?

TOKYO from 04-09 July 6 days
MT FUJI or FIVE LAKES from 10-11 July 2 days
OSAKA and surroundings from 12-16 July 4 days
KYOTO and surroundings from 16-20 July 5 days
Hiroshima from 21-23 July 3 days


Thanks! :)

Well, it depends on what you want to do.
Are you stopping in Hiroshima? Do you have to go back to Tokyo?
Do you want the fastest options, or do you not mind taking slower, cheaper trains, and/or busses?

As it stands, the 21 day pass or even a 14 day pass might be usefull. Especially if you travel a lot in the "surroundings".

Look at the bottom of the page on this link: http://www.japan-guide.com/e/e2361.html

Yes it is worth it to have the JR pass.
I went from Tokyo to Takamatsu ( Kagawa ) and back to Tokyo used it in Tokyo. in my opinion it was worth the money. it looks like you will be traveling a lot.

Good luck

Yes it is worth it to have the JR pass.

Provided it pays off for your itinerary. The OP's itinerary is a little questionable. For example, will you return to Tokyo afterwards. Otherwise, a JR Pass may not pay off and you would just be buying convenience.