Tokyo, Osaka, Hiroshima, Miyajima, Kyoto, Nara, tokyo

Hi there, I will be following the above itinerary as a family o 4 (2 teenagers).
1. Is purchasing a JR pass with it?
2. Will a JR pass cover travel locally to visit tourist attractions within each city, or do I need to supplement with some other card to be able to access transportation in the various cities? If so, what type of card/pass should I get and is it different for each city I will be visiting?
3. I will be spending 3 days in Tokyo at the beginning of my trip and 2 days at the end. Am I better off buying a local transit pass in tokyo and saving buying a one week JR pass to cover travel from Tokyo to the other destinations?