Using JR Pass for my Itineray

Hello,

Do you think it is worthwhile to get the 7 day JR pass if we plan on visiting the following cities:

Osaka, Nara (maybe?), Kyoto, Tokyo. We could probably fit in another city as we follow the route back to Tokyo. Do you have any suggestions?

We will be arriving at NRT/Tokyo and planning on heading to Osaka the same day. We will return to Tokyo on the 7th day before the pass expires and will stay there until we leave Japan.

A question regarding the pass - if we activate the pass at 2 pm on the day we arrive, for example, will the pass be active until 2pm on the 7th day or will it just expire on the 7th day?

Thank you!