VISIT JAPAN

Dear Daniel ,
I arrive with my daughter (21) on the 9th of April at 15.40 at Narita Tokyo airport , we will go when we arrive to Hakone by Shinkansen train and will stay in Hakone for 2 nights , on the 11th of April we will go by Shinkansen to Kyoto and will stay till 14th in the morning and will go then to Tokyo and will stay in Tokyo till 18th of April and will return by Narita airport .

Do we need a Shinkansen 7 days pass and book a separate single trip on the 18th from Tokyo center to Narita airport or do we need more days
Do we need to do reservations Green class for specific hour each train trip?

Can we book a pick up at the gate and bring us to train center of Tokyo to jump on Shinkansen same day at arrival

Thanks in advance and looking forward to your reply,
Best
Camille V