7 days Pass good for my trip?

Hi,
Yes, you can take JR for all of that. There is no bullet train from Narita - you can take the N'Ex to Tokyo Stn and catch the bullet train.
You can see regular fares, routes and schedules on Hyperdia.
Under "More Options", be sure to uncheck the Nozomi box since you can't ride that train using the pass.

Although honestly, you are severely shortchanging Kyoto -- it is worth several days. Nara is well worth seeing too but you can cover most of the best in a day. After a day of seeing Kyoto or Nara, you could also spend an evening seeing Kobe.
For Osaka, in the evening don't miss Dotonbori, plus the night views from the Umeda Sky Bldg, and Abeno Harukas Bldg.

Good luck.