Is a pass worth it for us.

We are visiting Japan mid Sept for a month. This is our itinerary and we are wondering if economical to use pass for all or for what portion of it.

Thanks

Arrive Narita airport

17-Sep Tokyo Arrival
18-Sep Tokyo City
19-Sep Tokyo City
20-Sep Nikko Day Trip
21-Sep Tokyo City
22-Sep Tokyo City
23-Sep Train to Osaka - City
24-Sep Osaka City
25-Sep Osaka Day Trip Yamanobe No Michi Trail Hike
26-Sep Osaka Expo
27-Sep Osaka Expo
28-Sep Osaka Expo / City
29-Sep Train to Koyasan
30-Sep train to Takijiri-Oji 2 trains: JR Kasada Stn - Wakayama - Kii/Tanabe
01-Oct Day Hike 18 km
02-Oct Day Hike 21 km
03-Oct Bus from Hongu Taisha Mae to Kii Tanabe, Train to Kyoto
04-Oct Kyoto City
05-Oct Kyoto Day Trip
06-Oct Kyoto City
07-Oct Train to Hiroshima - Day Trip Himeji Castle,
08-Oct Hiroshima City
09-Oct Hiroshima Day Trip Miyajima Island ??
10-Oct Hiroshima City
11-Oct Train to Onomichi (1 hour), pick up bikes, Biking Day
12-Oct Imabari City to Tokyo
13-Oct Tokyo Train to Tokyo
14-Oct
15-Oct Transit to Airport