Here is the itenerary I got... any suggestion or changes? We decided to go to Miyajima after Tokyo, and slowly make our way back instead of having to do the Miyajima-Tokyo trip right before going back to the status.

Day 3: Monday: Tokyo (harajuku, akihabara)
Day 4 Tuesday: Tokyo (fish market)
Day 5 Wednesday: Tokyo (Team Lab)
Day 6 Thursday: Tokyo - Day trip to Nikko
Day 7 Friday: Tokyo +/- Hakone
Day 8 Sat: Night in Miyajima
Day 9 Sun: Kyoto
Day 10 Mon: Kyoto
Day 11 Tue: Kyoto
Day 12 Wednesday: Day trip to Nara
Day 13 Thur: Day trip to Osaka
Day 14 Fri: Back to Tokyo, via Hakone?
Day 15 Sat: fly home

If I had to pick between Nikko and Hakone, what would you pick? Also, yes or no to Snow Monkeys?!