14 Days in Japan, with 7 Day JR Pass?

Hi there,

We have two weeks in Japan, beginning early April.

We fly to and from Tokyo and intend to get a 7 day JR Pass.

Here is our current itinerary:

Day 1 - Arrive in Tokyo
Day 2 - Tokyo
Day 3 - Tokyo
Day 4 - Tokyo
Day 5 - Tokyo to Takayama <b>(first day of JR Pass)</b>
Day 6 - Takayama to Kyoto
Day 7 - Kyoto
Day 8 - Kyoto
Day 9 - Kyoto
Day 10 - Kyoto to Hiroshima <i>(half day)</i> to Miyajima
Day 11 - Miyajima to Himeji <i>(half day)</i> to Tokyo <b>(last day of JR Pass)</b>
Day 12 - Tokyo
Day 13 - Tokyo
Day 14 - Fly back from Tokyo

Does that give us enough time? Any other potential places to visit on this route? Worth paying for a 14 day pass instead?

Thanks for your help!