Tokyo-Miyajima-Kyoto-Hakone-Tokyo

Hi!
Will be traveling during busy season in late April/early May. Flying into Tokyo for one night then leaving next morning for Miyajima. 2 nights in Miyajima then to kyoto. 3 nights in Kyoto then to Hakone for 2 nights and back to Tokyo for our final night. I’d like to get by with the 7 day pass if possible. Does the JR pass provide any benefit for getting to Hakone? I assume to get to Hakone from Kyoto we may have to go to Tokyo first?? Any suggestions with this itinerary would be appreciated. Thank you!