no is used before nouns mainly,(i have NO books....)
not primarily modifies adjectives, verbs and adverbs(i'm NOT famous/fat...), (i do NOT need like/need/smoke.... )
you'll see a famous saying by Seneca, (much, NOT many!)
NOR is NOT a member is this family, it is compared with OR.
A- I'm NO fool, I'm a king.
B- yes, you are not a fool.
A- and you, what about you?
B- me? well, as you see, I'm neither a fool NOR a king.