JR East Pass Route

Hi Hi,
Planning my 2nd trip to Japan.
Tokyo. NozawaOnsen, Tokyo
Afew side trips in Tokyo. Otsuki to Kawaguchiku.
Nagano to Jigakudani Onsen.

1. Like to know if JR East pass can take me to Togari Nozawaonsen?
2. Can we select the 5 different dates for this pass as some days i might be skiing for 3 days and i don't need to use it at all?
3. How about the inner Metro line in central Tokyo? Can this pass be used? i read about it but kind of confuse with the coloured lines.
4. Coming from Narita airport, can this pass be used for travelling to Shinjuku?
5. And from Shinjuku to Tokyo, do i buy separately a Metro ticket or I can use the pass?

Sorry for all the question i post here, may not be in order but hope you can help advise.
Best.