14D/13N - Japan Trip

Hi !

I have a family of 3 adults traveling to Japan arriving 07-Apr and departing 20-Apr (14D/13N).
Below is my tentative itinerary:

1) 07-Apr, 8.00am: Arrive Narita Airport T2
2) Stay 2N - Tokyo and Shinjuku area
3) Stay 1N - Lake Kawaguchi area
4) Stay 1N - Shizuoka area
5) Stay 1N - Sendai and Niigita
6) Stay 1N - Nagoya
7) Stay 3N - Kyoto
8) Stay 3N - Osaka
9) Stay 1N - Return to Tokyo
10) 20-Apr, 11.00am: Depart Narita T2

I would appreciate very much your advice on what Rail Pass /Train to use and any suggestion
on what would be the recommended itinerary based on the above plan.

Thank you in advance.

Cheers,
TL Tan