No. Not yet a member of the Schengen zone
Yes, Greece is part of the Schengen Area, which allows for passport-free travel between member countries in Europe.
Greece has not been excluded from Schengen. Greece is part of the Schengen Area.
Yes, Greece is a member of the Schengen Agreement and Schengen visas are valid.
No, Croatia is not a member of the Schengen Area.
No, Albania is not a member of the Schengen Area.
No. Montenegro is not part of the Schengen Area.
I don't see how you could, as Albania is not a member of the Schengen Area. However, an Albania passport itself will get you a 90-day visa-free travel period in Greece.
Yes, The Netherlands are a member of the Schengen Area.
No , Russia is not part of the Schengen Area.
No, Ireland is not part of the Schengen Area.
Montenegro is not a member of the Schengen Area, Schengen visas are not valid.