What type of JR Pass should I buy

I will be in Fukuoka from Apr 3 to Apr 6.
Apr 6 to Apr 8 - Hiroshima
Apr 8 to Apr 11 - Kanazawa
Apr 11 to Apr 14 - Tokyo
Apr 14 to Apr 15 - Izu Peninsula
Apr 15 to Apr 17 - Tokyo

Based on the itinerary above, I was searching for the best deal in terms of train / shinkansen tickets. Was looking at the JR Pass, but not sure which one to buy. Anyone can advise? Thank you.

This does not include any side trips.

Hakata (Fukuoka) —> Hiroshima - 9,100 yen
Hiroshima —> Kanazawa - 15,910 yen
Kanazawa —> Tokyo - 14,380 yen
Tokyo —> Atami - 4,270 yen
Atami —> Tokyo - 4,270 yen

Total 47,930 yen
14-Day JR Pass - 47,250 yen.

So�c without side trips, like Miyajima Island, you are covered, and the pass pays off. The first three legs listed are also covered within 7 days, so you could use a 7-Day JR pass, and then get something like the Tokyo Wide Pass to cover the Izu Peninsula.

You are in Japan for 15 days, so one day would not be covered. This means that the 14 day pass could also cover transportation to one of the airports, like to Tokyo Narita. My guess would be to not cover the first day, because the subway trip from Fukuoka Airport to Hakata Station is not that much.

Good luck, planning your trip.