7 Day or 14 Day Pass worth it?

Wy wife and I arrive Narita Airport on October 26th, staying in Ginza area. I want to hike Nokogiri, back to Ginza, then to Nara Park on the 28th.

Nara Park for one day, then to Tanabe City to begin a Kumano-Kudo hike from October 29th to November 2nd, then back from Katsuura to Tokyo for local experiences before the airport on November 5th.

We do have a few busses we'll need to take on the Kumano Kudo.

So, the total time is longer than 7 days, but several days we'll be hiking. 7 days, 14 days, just buy individual rail / bus segments?

Thanks so much for any advice.