My family of 4 will be traveling to Japan in May. We arrive in Osaka and stay for 4 nights, with a day trip to Hiroshima. Then we are staying in Hakone for 2 nights, and on to Tokyo for 6 nights. From Tokyo we will take days trips to Nikko and Nagano. Thus:
Wed May 15 Arrive in Osaka
Sat May 18 Osaka - Hiroshima (roundtrip)
Sun May 19 Osaka - Hakone
Tues May 21 Hakone - Tokyo
Thu May 23 Tokyo - Nagano (roundtrip)
Fri May 24 Tokyo - Nikko (roundtrip)
Mon May 27 Depart
The rest of the time we will tour in Osaka and Tokyo.
My question is, should a get the 7 or 14 day JR Pass? It looks like it will be for itself for the days mentioned, but I'm not sure if I should get the extra 7 days. Are there enough local trains it covers to justify the expense?
Any input is appreciated! Thank you!

