Avogadro Constant is the number of atoms in one mole.
One mole is the same number of grams as the molecular mass or atomic mass.
a) You have 1.204*10*25 atoms
Avogadro's constant is 6.022*10^23
1.204*10*25 atoms / 6.022*10^23 avogadro = 20 moles
Section B I don't follow you, is it possible you did a typo and it's ^23 not ^-23?
When it says "the atoms have a mean mass" do you mean "this particular sample of atoms" or "a specific amount [1 mole, 1 unit volume] of atoms"?