10 days 9 night in japan first time

Hi

I am thinking below . I am thinking of buying 7days JR pass for below

Please help

14th April land in Haneda 10:30PM stay in Haneda

15th April activate my pass and go to kyoto

16th April Kyoto - explore Kyoto

17th April Kyto - explore Kyoto

18th April - Day trip to Nara and return to Kyoto

19th April - kyoto to Hiroshima and then onto Miyajima .Stay in a Ryokan in Miyajima

20th April - Miyajima to himeji explore himeji and then onto Tokyo

21st April - Tokyo sight seeing

22nd April - Hakone day trip and return to Tokyo

23rd April - Tokyo + souvenir shopping and fly back 11:45 pm

Is it too much or seems legit?

No problem as basic.
Use HyperDia for comparing vs regular(no discount) fares.
Japan Rail Pass not matched for each cities explore short rides, bc JR lines is not so many.
So need other tourist passes usual.

If really need big money save, find Over night buses
for btw Tokyo and Kyoto,Osaka and more for long distance.
http://willerexpress.com/en/

Busy but doable.

If you swap 21st and 22nd. Then you can use JR pass for Shinkansen to get to and from Odawara. Then purchase the 4000 yen hakone free pass.

The trip is easily doable.

If possible, I would choose a day with good weather for Hakone, so if doing it one day earlier is not possible (as suggested by hakata), then no problem trying to do it in the next.

It is a bit more expensive from Shinjuku (assuming you are using the Hakone Free Pass), but not that much, and going there in a clear day would make this rather long trip from Tokyo much much more worthwhile.

Likewise, if conditions are crappy (heavy fog or rain), I would drop it altogether and just do something in Tokyo. Or go to Nikko.

Of course, this would involve keeping an eye in the weather forecast.