Japan 17 days

Arrive Narita -Tokyo 4 nights (Suica Travel Cards) Accommodation for family 3 Adults (any suggestions $160per night)
Purchase One Way Ticket Shinkansen Ticket Odawara - Kyoto
Purchase One Way Ticket Shinkansen Ticket Kyoto - Hiroshima
Purchase One Way Ticket Shinkansen Ticket Hiroshima - Osaka
Purchase Hakone Free Pass (2Day)One Way, Travel "Romance Car" Shinjuku to Hakone-Yumoto direct; Hotel @ Hakone 1 night (????). Sightseeing etc
Depart Hakone Tozan Railway to Odawara Station
Depart Odawara on Hikari Bullet Train for Kyoto
Purchase Kintetsu Rail Pass plus (5 days) ????Suica Cards ????
Arrive Kyoto Hotel or house accommodation 5 nights
Day Trips to Nara & Nagoya
Depart Kyoto - Hiroshima
Hiroshima Hotel Accommodation for 2 nights ????
Hiroshima & Miyajima
Depart Hiroshima to Osaka
Shinkansen to Osaka
Osaka Accommodation 4 nights ????
Day Trips to Kobe & Himeji
Depart Osaka via Itami for Narita
What I would like opinions and suggestions for travel passes and accommodation references would be great. I have looked @ 7 day JR Pass but expensive I think. This 3 Adults
Purchase Kintetsu Rail Pass plus (5 days) ????Suica Cards ????
Hiroshima & Miyajima Suica or Railway passes????

Odawara to Osaka = 12,XXX yen
Osaka to Hiroshima = 10,XXX yen x2

7 day pass = 29,XXX yen.

I would go to Hiroshima after Hakone, so you can use a 7 day pass for shinkansen Odawara to Hiroshima for 3 nights. Train and ferry down to Miyajima. And shinkansen Hiroshima to Osaka/Kyoto.

You'll still have a few days left of the pass to cover trips to Nara and Kobe/Himeji etc.

Kintetsu pass near useless as you are not going places that the pass covers.

I'd say that time spent in Nagoya and 4 days in Osaka is largely a waste, even if you plan days trips. Nagoya?
And Osaka?? Why??? Maybe an hour in Nagoya. A half-day in Osaka at the most, unless you really like unattractive cities.