7 or 14 days JR rail pass

Hi,

My family will be touring Japan from May 23 to June 5. We will spend 13 days covering Tokyo, Kyoto and Osaka. We are not sure whether to get a 7 days or 14 days pass. Here is our itinerary:

24 May Arrive Narita and travel to Tobu Hotel Levant
24-29 May 6 days in Tokyo
29 May, 1 day Sakai Osaka,
30 - 31 May, 1 day Osaka, maybe go to Nara Park
1 June in Kyoto, day trip
2 June, Osaka to Hiroshima
3 June, back to Tokyo
4 June, Tokyo to Kamakura
5 Jan, Leave from Narita

We thought about the following options:
1. Buy a 7 days JR pass and use from 29 May - 4 June
2. Buy a 14 days JR pass and use from 24 May - 5 June. However we are not sure whether it’s worth the pass to cover the Tokyo city travel.

Could you please recommend a better option for us or suggest any amendment to our plan? Thanks a lot!