Hi all,
My partner and I have planned a trip in October for 21 days and our itinerary looks something like below

Date Things to do

10th October Arrive in Tokyo/ pick up rental car
11th October Arrive in Tokyo| Shinjuku Gyoen| Yoyogi Park
12th October Mount Fuji
13th October Mount Fuji
14th October Mount Fuji
15th October Kyoto
16th October Kyoto
17th October Kyoto
18th October Kyoto
19th October Osaka
20th October Osaka
21st October Osaka
22nd October Hiroshima
23rd October Hiroshima
24th October Hiroshima
25th October Fukuoka
26th October Fukuoka
27th October Fukuoka
28th October Tokyo
29th October Tokyo
30th October Tokyo
31st October Depart from Tokyo

Wanted to understand if a 14-day JR pass would be better if we activate later of trip or 21 days JR pass ?
All Trains lines are covered in this JR pass or not ? Please highlight if not.

Thanks
Amit