Mom & Son trip

Hello any suggestions of activities or more efficient order of stays is warmly received. I’m taking my high school grad his choice to Japan 14 days. I’m so excited to be able to have this memorable trip together and know this will be our last trip together as he approaches manhood and find his own path and interests. It’s a bitter sweet time as his mom as so hard to let him fly.
What do think of this proposed itinerary, first time in the country and I’m unsure of which trains take me most efficiently to my destinations. Thank you in advance. 🌿

Flying into Tokyo and out of Osaka..

Tokyo 5 nights
Hakone day trip
Mt Fuji 1 night
Kyoto 3 nights
Nara day trip 1 day
Koyasan 2 nights
Osaka 2 nights