You might be trying to cram too much in. It depends on what you wish to see and whether or not you see yourself returning to Japan for another visit. If you will be returning, I'd suggest leaving Hiroshima and Miyajima for another time. If this is a once-in-a-lifetime visit, then by all means go on down to Hiroshima for a day.

Kamakura is only a short train ride from Tokyo and does not need an overnight stay. Likewise, Himeji is a good half-day site but does not need an overnight. The only problem with seeing these places on the way to somewhere else is the necessity of doing something with your luggage while there. Kamakura is an easy daytrip from Tokyo. You might want to just stay that night back in Tokyo to simplify catching the shinkansen the next morning.

Himeji, you can see as a daytrip from Kyoto, returning there in the evening, or you could stop off on the way to or from Hiroshima. There are some medium-sized coin lockers at Himeji station if your bag(s) is/are not too big. If you have a lot of luggage, I'd suggest skipping Himeji on the way to Hiroshima. Then, ship your bags from Hiroshima to NRT for your departure, keeping only enough for one night in Tokyo. You could then stop at Himeji on the way BACK from Hiroshima. With 2 days delivery time, your bags will be waiting at NRT for you. Or, you could simply leave Hiroshima for another trip and make it easy on yourself.

So, taking your model above:

30th - thru 1st - Tokyo
2nd - Tokyo (daytrip to Kamakura - return)
3rd - to Kyoto (perhaps stop for lunch and short visit in Nagoya)
4th - 5th - Kyoto
6th - Kyoto (daytrip Nara - return)
7th - Kyoto (daytrip Himeji, return Tokyo pm.)
8th - Last morning in Tokyo - depart.)

or:

6th - Himeji in a.m. - continue to Hiroshima p.m.)
7th - Hiroshima/Miyajima - return Tokyo in p.m.)

I am biased and others will disagree, but I feel Kyoto alone is worth at least 3 days, not counting side trips to Nara, Osaka, Kobe or Himeji. I spent a week there during my first trip and didn't see everything I wanted.

JR