Regional versus JR

We are a group of 5 adults who will use trains/buses for our 28 days in Japan.
Itinerary
Tokyo 5 nights( will buy daily passes for 3 of these days)
Hakone 4 nights ( Will use Hakone Free Pass)
Nakatsugawa 2 nights
Takayama 5 nights
Kanazawa 2 nights
Kyoto 4 nights
? 3 nights- perhaps Hiroshima or between Kyoto and Hiroshima Tokyo 1 night.
I thought a 21 JR pass starting from the day we leave Hakone would work, however have just been looking at Takayama-Hokuriku-area-tourist-pass which seems to cover us from Nogoya through to Kyoto- which is a total of 10 days- can we buy two passes each to cover 10 days?
I think we would then need to buy a ticket from Hakone to Nogoya and then maybe a 7 day JR pass for the last week which would cover a couple of day trips from Kyoto.

Can you confirm that we can but two Takayama passes each and that my thinking above is correct - if not would it just be best to buy a 21 day JR pass from the day we leave Hakone.

Thanks so much.

Wendy East