Tokyo -Hiroshima/miyajima to osaka

Wondering if the 7 day pass will work for us.
Arriving Narita April 8 (have transportation to hotel in Tokyo already)
Tokyo Hilton - 3 nights leaving on April 11 to Miyajima
Miyajima - 2 nights April 11-13
Osaka - 3 nights April 13-16
Leaving Japan out of Narita to US

The total days in the country is 9. Will the JR pass be the best to get?
What would we buy to get around Tokyo for a few days?

Thanks.