21 days JR pass

We're two people visiting Japan for a total of 24 days.
According to the planned schedule we're considering aquiring a 21 days JR pass; we'd like to ask if you could confirm our schedule wich will be:

1) February 20th arrival to Haneda Airport.

2) February 23th JR pass activation. 1 Day trip to Kamakura:
Tokyo - Kamakura: JR East Yokosuka Line Kamakura - Tokyo: JR East Yokosuka Line

3) February 24th. Tokyo to Hakone ((We're planning to send our big luggage to Kyoto asking to deliver it on the 27th))
Tokyo - Odawara: Shinkansen (Kodama or Hikari) Odawara - Hakone: Bus Odawara-Hakone Line (Hakone Tozan Bus)

4) February 25th. Hakone to Nagoya
Hakone - Odawara: Bus Odawara-Hakone Line (Hakone Tozan Bus) Odawara - Nagoya: Shinkansen (Kodama or Hikari)

5) February 27th. Nagoya to Kyoto ((We're planning to send our big luggage to Hiroshima asking to deliver it on March 8th))
Nagoya - Kyoto: Shinkansen (Kodama or Hikari)

6) March 2nd. Kyoto To Nara
Kyoto - Nara: Kintetsu limited express (Q: is this train included on the JR pass?)

7) March 3rd. Nara to Osaka
Nata - Osaka: Kintetsu Railways or JR Yamatoji Rapid Service (Q: is this Kintetsu Railways train included on the JR pass?)

8) March 5th. Osaka to Tottori
Osaka - Tottori: Limited Express Super Hakuto or Limited Express Hamakaze (Q: are those trains included on the JR pass?)

9) March 8th. Tottori to Hiroshima ((Luggage claim on Hiroshima))
Tottori - Kamigori: Limited Express Super inaba or Limited Express Super Hakuto (Q: are those trains included on the JR pass?) Kamigori - Okayama: JR Sanyo or Express Super inaba Super inaba (Q: is Express Super inaba included on the JR pass?) Okayama - Hiroshima: Shinkansen Sakura. (( Is it possible to take a more direct trip to Hiroshima? if so please let us know))

10) March 10th. Hiroshima to Kanazawa
Hiroshima - Kyoto: Shinkansen Hikari Kyoto - Kanazawa: Limited Express Thunderbird (Q: is this train included on the JR pass?) (Is possible to take the luggage with us on these two trains?)

11) March 13th. Kanazawa to Nagano
Kanazawa - Nagano: Shinkansen Kagayaki or Shinkansen Hakutaka

12) March 15th. Nagano to Tokyo
Nagano - Tokyo: Shinkansen Kagayaki or Shinkansen Hakutaka (Last day of JR Railpass)

13) March 16th. Tokyo to Narita Airport
Tokyo - Narita Airport: Narita Express (Q: how much is this ride?)

Q: You think this schedule will work? We look forward to your opinion.

Thank you Very Much!!
ありがとうございます!!