Itinerary check and JR Pass advice

Hi

My girlfriend and I are visiting Japan in 3 weeks time and it would be really helpful to get some advice. I'll be running the Tokyo marathon on 25 February but then we're planning to stay on and travel a bit.

In total, we have 15 days and we have a rough itinerary:

3 nights - Tokyo
1 night - Hakone
1 night - Osaka
1 night - Naoshima
1 night - Osaka
Day trip - Nara
3 nights - Kyoto
1 night - Hiroshima
1 night - Miyajima Island
3 nights - Tokyo

Do you think this itinerary is too busy or comfortable enough to enjoy the places we visit? Is there a way that we could use a 7 day JR Pass for travel outside of Tokyo so that we don't have to buy a 14-day pass?

Thank you.