Hi Again,
Thank you for clarifying! Now let's see how things would work out:
Day one:
Narita Airport - Tokyo ¥ 3,140
Day four:
Tokyo - Nagoya ¥ 10,780
Day six
Nagoya - Kyoto ¥ 5,640
Day six - ten
Kyoto - Nara ¥ 1,380 (return)
Kyoto - Hiroshima ¥ 21,980 (return)
Day ten - twelve
Kyoto - Osaka ¥ 540
Osaka - Kansai Airport ¥ 1,160
This all adds up to ¥ 44,620, the 14 day JR Pass is ¥ 45,100, so this option would only pay off if you did some additional travel. However I think some good savings are to be had with the 7 day JR Pass. As you could use it from day 4-11 and use it to cover all your expansive long distance travel.
This would include:
Tokyo - Nagoya ¥ 10,780
Nagoya - Kyoto ¥ 5,640
Kyoto - Hiroshima ¥ 21,980 (return)
Kyoto - Osaka ¥ 540
For a total of ¥ 38,940 the 7 day JR Pass is ¥ 28,300 and you would save at least ¥ 10,640! So I think the 7 day JR Pass would be the best option for you, you supplement it with buying local tickets as you go.
Note that I left Fuji out as you can't travel there all the way with the JR Pass, I would suggest reading this article for more information about traveling to Mount Fuji.
I hope this helps!
Daniel