7 days trip with or without JR Pass?

Hi! I have planned a 7 days trip in Japan as follows. However, I am not sure if I should purchase the JR Pass or the other available Passes.

Day 1 - Arrive in Haneda Airport (23.00) ...would like to know if there is any train or buses from Haneda Airport to Tokyo under JR Pass or if the public transport during these hours still operates?

Day 2 & 3 - sightseeing around Tokyo...Definitely Fish Market and Sumo wrestling.
And possibly surrounding areas like the "electronic city" and Edo-Tokyo open air architectural museum.

Day 4 - Mt.Fuji. The Shibazakura Festival

Day 5 - Takayama

Day 6 - Shirakawa-go (Ogimachi)

Day 7 - Kamakura

Day 8 - Tokyo & Haneda Airport.

Need your advise on how best to use the JR Pass and which is the most effective Pass to purchase.

Thank you!