The suppositions in my second argument are fatal to your theory because it is necessary to show those suppositions are false in order for your theory to stand. Or, to be more specific, in order to prove that evolution theory contradicts the second law of thermodynamics, it is necessary to show that the temporary reduction of entropy in living things is not paid for by an even greater increase in entropy elsewhere.
When human beings build a skyscraper, do they violate the second law of thermodynamics? After all, they are creating order in a place that was previously disordered. The answer, of course, is no. The order in the skyscraper is more than paid for by the burning of fossil fuels and other orderly sources of energy that it took to build it.
You're engaging in a fundamental misapplication of the second law of thermodynamics. My physics text states the law as follows: "A natural process always takes place in a such a direction as to cause an increase in the entropy of the system plus environment." The second law of thermodynamics does not say that living things must become more disordered over time. It does say that living things plus their environment must do so.