3 week trip- sound ok?

We're planning our honeymoon to Japan in April next year and have the following ideas-does it sound possible?
-Arrive on sun 6th & spend 6 nights in tokyo
-travel to Hakone, spending one night in Fujiya Hotel, Myanoshita
- Travel to Takayama for 2 nights during festival
-Travel to Kyoto,staying 5 nights, and exploring Kyoto, Nara and Osaka.
- Travel to Hiroshima, stopping at Himeji-jo on the way, staying 2 nights on Miyajima
-Travel back to Shimoda for 2 nights before returning to Tokyo for last 2 nights.
Could anyone suggest any changes/ improvements/ recomendations.
Thank you for your help.

I see no problems with the plan. Looks beautiful. Hotels during the Takayama Festival and the cherry blossom season in Kyoto get scarce. I would consider making the reservations pretty soon.

Sounds great, i'd recommend a day trip or a overnight stay in Nikko if you end up getting bored of tokyo, Its a beautiful place.

Thanks a million for your help.