Let's FIRST agree that there are more then 1 way of saying things. There is such a thing as Metaphor AND there are more then 1 meaning or "sense" of a word.
AGREED?
So what we have here are multiple senses of the word and different ways of stating things.
The Apostles were trying to make a point that God used a bit of symmetry in his plan for salvation.
Through 1 man sin entered the world - that would be Adam.
Therefore, God in his infinite perfection, used a similarity to bring about the salvation of mankind. That is, through God becoming man as a sign of his love, he allowed MAN to bridge that divide that sin created and through a man, Mankind sin was conquered.
See the parallel there?
You see, God didn't have to, but in his perfection, he sought symmetry.
Secondly, Spirit has more then one connotation. there is "spirit of the law" as opposed to "letter of the law" there is a person's SOUL, which is spirit... and there are Spiritual beings, those spirits which lack physical form, like Angels and God.
"Spirit" therefore is that inmaterial state of being. Be it the reasons behind the law which lacks the proper words, be it our animating life force. OR, be it God himself. ALL of three of those are a "sense" of the word "spirit"
What you have done is confuse the senses of those words and tried to make Spirit mean all the same thing.
Thirdly, Life IS in the blood, in a SENSE, in that, if blood drains out of an animal, it will surely die. (though coconut water can be used as a temporary replacement for blood plasma...but that's not the point)
But life is also in the Soul, for without a soul or "animating life force" things are not alive.
But in another sense, not every Soul is worthy of eternal life. Plant life has an animating life force, but we don't think that every weed and ever flower goes to heaven.
So CLEARLY there are different meanings and senses of the word Soul, Spirit, and Life.
It is MORE complex then we first assume.
Hope this helps
God Bless! and Shalom! (Hebrew for Peace)