Itinerary Check and should I purchase 7-day pass?

Hi,
Unfortunately with a one-way itinerary such as yours, a 7 day JR Pass would not pay off. I suggest you get regular fare tickets between Tokyo and Kyoto, or fly using a low cost carrier like Jet Star or Peach.
However, some regional passes might help you, such as a Nikko Free Pass, and an Odakyu Enoshima Kamakura Free Pass . Or, look into a 3 day Kanto Area Pass.

Good luck.

Actually, on 2nd glance, you might barely break even with a 7 day pass, if you use it also to go from Kansai International Airport.

Thank you very much for your help.

To clarify, you mentioned above that we would barely break even if we use the pass to go from Kansai International airport. Exactly to where from Kansai? To Tokyo?

Thank you

Sorry, I meant to Kansai International Airport.