Tokyo -> Kyoto via Nagano and Kanazawa as stopovers on single JR ticket - is it possible?

This spring I'm going to Japan, and our current itinerary looks like this for a few of the days:

Day 1: Tokyo Station -> Nagano (Shinkansen), overnight in Nagano
Day 2: Nagano -> Kanazawa (Shinkansen), overnight in Kanazawa
Day 3: Kanazawa -> Kyoto (Limited Express)

I read this excellent answer about stopovers in Japan, but am still unsure - can I do the above itinerary with one Tokyo -> Kyoto ticket, with the stopovers (and so save a great deal of money)? Which one would I need to buy? Or is there another cheaper way of doing this?

I'm also doing another journey, this time:

Day 1: Osaka Station -> Himeji -> Mihara (Shinkansen), 2 nights in Mihara
Day 3: Mihara -> Hiroshima (Shinkansen)

Does this also work out? I think so (seems less complicated than the first itinerary above) but still not sure.

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Can I use JR Pass from Tokyo to Kanazawa?

By train. Tokyo and Kanazawa are directly connected with each other by the JR Hokuriku Shinkansen. The one way ride takes 2.5 to 3 hours, costs around 14,000 yen and is fully covered by the Japan Rail Pass and Hokuriku Arch Pass.

Can I use JR Pass all over Japan?

Validity. The pass is valid on almost all trains operated on the nationwide network of JR (Japan Railways), including shinkansen, limited express, express, rapid and local trains.

Is Shinkansen Kagayaki covered by JR Pass?

The Kagayaki Shinkansen is fully covered by the Japan Rail Pass, including complementary seat reservations. The service is jointly operated by JR East and JR West, meaning that some regional JR passes cover (part of) the route, namely the JR Hokuriku Arch Pass can be used entirely from Tokyo to Kanazawa.

Does JR Pass include bullet train?

The PASS is valid on all Japan Railways (JR) Group Shinkansen \u201cbullet trains\u201d (except for the \u201cNOZOMI\u201d and \u201cMIZUHO\u201d trains), limited express trains, express trains, and local trains (Green Car passes are valid for Green Car travel) in addition to the BRT (Bus Rapid Transit system).

Kanazawa City Bicycle Hire Rental - JR Rail Pass from Osaka Kyoto Nagano Kobe Tokyo Japan

Sources: Stack Exchange - This article follows the attribution requirements of Stack Exchange and is licensed under CC BY-SA 3.0.

Images: Christiano Sinisterra, Christiano Sinisterra, Yumiko Yamanaka, Stephen Tam