Narita - Tokyo - Myoko Kogen

Hi, I've had a bit of a search and just wanting to confirm that a JR East Pass would be the best option for our itinerary. We will be flying into Narita and then staying in Tokyo (Sugamo Toshima-ku) for 3 nights before heading to Myoko Kogen for 7 nights then heading direct from there to Narita to go home. I noted that the JR East pass provides 5 days travel within 14 day period. Will it get us from airport into Tokyo on arrival day, then around Tokyo and as far as Myoko-kogen for next 3 days, then finally from Myoko-Kogen to Narita on final day?

Thank you!!!

Renee