Family trip on October 2019

Hello,
We are going to spend 15 days in Japan on October.
We´ll arrive in Narita Airport and Tokyo on 13th October,
On 16th we´ll go from Tokyo to Nikko
On 17th from Nikko to Kawaguchiko
On 19th from Kawaguichiko to Kyoto
On 20th from Kyoto to Himeji returning to Kyoto
On 22th from Kyoto to Nara returning to Kyoto
On 24th from Kyoto to Tokyo
On 27th October from Tokyo to Narita
We are thinking on buying a 7 days JR Pass, activating it on 19th October
Would you please tell me if it is the correct choice? Any suggestions?
Thank you very much!