JR Pass versus Inidividual tickets when wanting a Gran Class upgrade on one sector

Hi there.

This is my itinerary:

Arrive Narita: November 19
Fly Narita-Sapporo: November 20
Sapporo to Lake Toya: November 22 (Limited Express Hokuto)
Lake Toya to Hakodate: November 23 (Limited Express Hokuto)
Shin-Hakodate-Kyoto via Tokyo: November 24 (Gran Class Hakodate to Tokyo | Green Car Tokyo to Kyoto)
Stay Kyoto: November 24-28 with side trip to Himeji
Kyoto to Tokyo: November 28
Tokyo to Narita Airport: December 1 (Narita Express??)

A couple of questions:

What ticket needs to be purchased for the Gran Class travel between Shin-Hakodate and Tokyo?

Does the JR Pass now include Nozomi trains in Green Cars?

Given the above itinerary, is it worth getting a JR Pass?

Appreciate the help very much.

Cheers,
Phil.