Japan 13 day itinerary

Hi,
We are travelling from Ireland and planning our 13 day itinerary to Japan in April and would love to have everyones thoughts on it. Here's a breakdown:

Day 1 - Travel from Dublin to Tokyo
Day 2 - Arrive in Tokyo (around lunchtime). Stay in Tokyo
Day 3 - Spend day and stay in Tokyo
Day 4 - Spend day and stay in Tokyo
Day 5 - Day trip to Nikko and Kegon waterfalls. Stay in Tokyo
Day 6 - Travel from Tokyo to Osaka. Stay in Osaka
Day 7 - Day trip to Nara. Stay in Osaka
Day 8 - Travel from Osaka to Kyoto. Stay in Kyoto
Day 9 - Spend day and stay in Kyoto
Day 10 - Travel from Kyoto to Hiroshima. Spend rest of day/night in Miyajima. Stay in Hiroshima
Day 11 - Spend day in Hiroshima then travel from Hiroshima to Tokyo. Stay in Tokyo
Day 12 - Day trip to Mount Fuji and Hakone. Stay in Tokyo
Day 13 - Travel from Tokyo to Dublin

Any thoughts would be greatly appreciated!

Cheers,
Conall

The trip to Nikko is good, and hopefully the weather will be good for viewing the waterfall.

Heading south, I would recommend staying in Kyoto. it's easy to day trip to Osaka if you want, and there are many more things to see/do there, including being easier to get to Nara and the trip to Hiroshima (without changing trains at Shin-Osaka). Also, it would mean one less hotel change.

For day-12 (Fuji), if you're on the right side of the train heading south (day 6), you will probably get the best view of the mountain as you head past. You could probably better use the day back in Tokyo. Alternatively, if you are on a rail pass - jump on a train for a daytrip to Nagano or something like that.

Enjoy the trip!