Your definition of "information" is specious and has no scientific merit. Incorrect assumptions leading to incorrect conclusions.
Colloquial and other informal definitions of "information" are entirely different from the scientific and technical definition, which are all derived from the mathematical definition. Like the word "manifold", the definition of "information" varies and is critically specific to the subject matter.
If you use the correct definition for that field, you'll see that your argument evaporates. There may be many arguments against abiogenesis, but this has always been an extremely weak one because it founded on not understanding the terms of the subject matter.
My definition is scientific. To be specific, I am quoting Dr Werner Gitt, Director and Professor at the German Federal Institute of Physics and Technology. He has written numerous scientific papers in the field of information science, numerical mathematics, and control engineering.
"All the scientific research, experiments and observations carried out in the twentieth century show that the answer to this question is a definite "No." The director of the German Federal Physics and Technology Institute, Prof. Werner Gitt, has this to say on the issue:
A coding system always entails a nonmaterial intellectual process. A physical matter cannot produce an information code. All experiences show that every piece of creative information represents some mental effort and can be traced to a personal idea-giver who exercised his own free will, and who is endowed with an intelligent mind.... There is no known law of nature, no known process and no known sequence of events which can cause information to originate by itself in matter...385
It is impossible for the information inside DNA to have emerged by chance and natural processes.
Werner Gitt's words summarize the conclusions of "information theory," which has been developed in the last 50 years, and which is accepted as a part of thermodynamics. Information theory investigates the origin and nature of the information in the universe. The conclusion reached by information theoreticians as a result of long studies is that "Information is something different from matter. It can never be reduced to matter. The origin of information and physical matter must be investigated separately."
Werner Gitt, In the Beginning Was Information, CLV, Bielefeld, Germany, pp. 107, 141
When we apply this scientific definition of information to nature, a very important result ensues. This is because nature overflows with an immense body of information (as, for example, in the case of DNA), and since this information cannot be reduced to matter, it therefore comes from a source beyond matter.
One of the foremost advocates of the theory of evolution, George C. Williams, admits this reality, which most materialists and evolutionists are reluctant to see. Williams has strongly defended materialism for years, but in an article he wrote in 1995, he states the incorrectness of the materialist (reductionist) approach which holds that everything is matter:
Evolutionary biologists have failed to realize that they work with two more or less incommensurable domains: that of information and that of matter… These two domains will never be brought together in any kind of the sense usually implied by the term "reductionism." …The gene is a package of information, not an object... In biology, when you're talking about things like genes and genotypes and gene pools, you're talking about information, not physical objective reality... This dearth of shared descriptors makes matter and information two separate domains of existence, which have to be discussed separately, in their own terms.
Therefore, contrary to the supposition of materialists, the source of the information in nature cannot be matter itself. The source of information is not matter but a superior Wisdom beyond matter. This Wisdom existed prior to matter. The possessor of this Wisdom is God, the Lord of all the Worlds. Matter was brought into existence, given form, and organized by Him.