And I see the death as separation from God, which did occur with the first act of sin.
Your understanding of the Hebrew clashes with what I learned in my Hebrew classes. I was taught that the double use of the word for dying was an emphatic idiom in Hebrew implying absolute certainty.
And when one references Jesus paying the price for sin, the question arises, to whom did He pay the price? The law that called for blood was written for the benefit of humanity, so that becomes problematic. If the price was paid to God, it amounted to God moving money from one pocket to another and claiming that some price was paid, and that the law somehow had priority over humanity, which contradicts that the law was for the benefit of humanity. If it was to Satan, according to Job, he only had what authority God allowed him, so how did he get so much.
Likewise, to claim that our physical, mortal bodies become immortal requires some brand new laws of physics. Yet the existent laws of physics seem to have applied for hundreds of millions of years, if not billions, or since safely before any humans existed, so when did there ever exist a chance for immortal physical bodies? Yet if you refer to non-physical bodies, how did a physical act cause such a problem as to so harm a nonphysical entity?