Our itinerary for Japan (May 19 - June 2) includes 5 nights in Tokyo (May 19-24); then 3 nights in Hakone (May 24-27); 4 nights in Kyoto (May 27-31) and finally 2 nights in Hiroshima (May 31 -June 2). Our train travel will be Tokyo to Hakone; Hakone to Kyoto; and finally Kyoto to Hiroshima. We fly out of Hiroshima back to Tokyo before heading back home.
It does not make sense to purchase a 14 day JR Pass since the first 5 days we will be in Tokyo. The question: does a 7 day JR Pass make sense? If the pass is a good option, we would consider commencing the pass on May 26 the day before we head off to Kyoto from Hakone and expire after June 1st.