Tokyo -Matsumoto-Nagano-Kanazawa-Fukui-Kyoto-Tokyo

I am planning on a one week (7 days) loop from Tokyo in July and was wondering which Japan Rail Pass would be best for me.
I will spend a three days in Tokyo in the beginning travelling from Narita to Shinjuku and also three days at the end Shinjuku to Mount Fuji 5th station and back to Shinjuku then Narita. For these times would it be interesting to use the three day introductory ticket for Tokyo?