7 day or 14 days pass

Since we have 5 days in Shimoda I am wondering the best value approach to the JR pass, we are a family of 4 (kids are 16 & 14). Our (rough) itinerary is below - it would also be very helpful to understand if anything isn't covered by the pass;

Arrive 4 August into Tokyo Narita - stay in Tokyo 2 nights
6 August - Train to Hakone - stay in Hakone 1 night
7 August - Train to Shimoda - stay in Shimoda stay 5 nights
12 August - Train to Kyoto - stay in Kyoto 4 nights
16 August - Train to Hiroshima - stay 1 night
17 August - Train to Alps, possibly Kanazawa? Still working out best way to see Alpine area
19 August - Train to Tokyo - flight out from Narita 20 August

Thanks!