Which JR pass is worth it?

Hi,

Based on my itinerary below, could you please confirm which of the 7 or 14 day pass would be more cost efficient?

Day 1-4: Tokyo
Day 5-6: Kyoto
Day 7-8 Osaka & Kobe
Day 9-10: Hiroshima & Miyajima
Day 11-13: Takayama, Shirakawago & Kanazawa
Day 14: Kyoto
Day 15: Tokyo

Also, is this itinerary doable or too rush?
For Day 11-13, I was debating if I should switch to Fukuoka & Nagasaki instead, which one do you recommend?

Thank you,
Vincent