Gal. 4:4,5 questions

But when the fullness of time had come, God sent forth his Son, born of woman, born under the law, to redeem those who were under the law, so that we might receive adoption as sons.

What law brought the need for redemption?
Was, "thou shall not eat of it," the law, that brought the need for man to need to be redeemed?

And Adam knew Eve his wife; and she conceived, and bare Cain, and said, I have gotten a man from the LORD. And she again bare his brother Abel. And Abel was a keeper of sheep, but Cain was a tiller of the ground. Gen 4:1,2

Did the underlined need to be redeemed?

Behold, I was brought forth in iniquity,
And in sin my mother conceived me. Ps 51:5 NKJV

Were Cain and Abel, in sin conceived and brought forth in iniquity? Born of woman, born under the law?

How is conception and bringing forth relative to, "thou shall not eat of it,"?

But of the tree of the knowledge of good and evil, thou shalt not eat of it: But every man is tempted, when he is drawn away of his own lust, and enticed. Then when lust hath conceived, it bringeth forth sin: and sin, when it is finished, bringeth forth death. And he said, Who told thee that thou wast naked? Hast thou eaten of the tree, whereof I commanded thee that thou shouldest not eat?


It appears to me that sin and death was passed from Adam through Eve to their children through conception and birth?


Now when the fullness of time came. The time for men to be redeemed; I fine it interesting that God elected it be through conception of woman and woman bringing forth, under the law.

What law?

Now the birth of Jesus Christ was on this wise: Matt 1:18
having known that, not with corruptible things -- silver or gold -- were ye redeemed from your foolish behaviour delivered by fathers, but with precious blood, as of a lamb unblemished and unspotted -- Christ's -- 1 Peter 1:18,19

 

I wonder why God did not want them to have that knowledge?

What was the first thing they knew, after having eaten of the tree? Did they have the correct conception of their nakedness relative to the knowledge of the divine nature?