Itinerary check

Hi,

I am trying to figure out if the rail pass is worthwhile. I arrive in Tokyo and spending 3 nights there before going to Hakuba for 8 nights (transfers already arranged).
After Hakuba, I am planning to travel from Tokyo to Kyoto via the trains and spending four nights there (one of these days I want to go down to Hiroshima for a day trip). I will then need to travel back from Kyoto to Tokyo to fly out.
I assume the 7 day pass would be the best option for me and that I should activate it after Hakuba?

Thanks for your help!