Evolution nor Abiogenesis don't break your argument of what I assume to be the second law of Thermodynamics.
Then you don't truly understand the laws of thermodynamics.
Everything is subject to entropy. The information stored within genetic code is subject to entropy in the same manner, just as all information is.
What was the hair color of your G^15 Grandmother?
In all likelihood - that information has completely disappeared from existence. Not only is it unknown - it has become impossible to know. The information has been distributed by entropy in such a manner that it is no longer capable of being reconstructed.
The same is true for all information systems. Despite our best efforts and even the best error correction systems available with millions upon millions of mirrored storage systems... all information will be lost to time.
Just consider the photocopied hand-outs that have been successively copied since the 80s. You can hardly read the damned things, most of the time. This exact phenomena should have doomed live eons ago. The correction systems within modern photocopy machines are better - but they introduce some of their own errors. Eventually, making copies of successive generations of copies will begin to yield errors that reduce the information to null values.
That is precisely what -should- have happened to life.
There is an answer - but involves macroscopic applications of quantum mechanics to bring the observed in line with physics. The 'problem' with information being lost to entropy is, actually, the saving grace.
Remember your G^25 Grandmother's hair color? You can use known factors to reduce the possible hair colors to a range of possibilities. She could have had blonde or black hair (for example)... Red and Brown are eliminated because they conflict with currently known factors. It becomes functionally irrelevant whether she had blonde or black hair... and this allows things to work out as if she had both concurrently.
The only way for evolution to work within physics is if we adopt a quantum mechanical model where individuals within a species are allowed to behave as though the plausible mutations within the entire population are allowed to factor into speciation. This allows for very efficient use of 'energy' and -may- provide an avenue for net decrease in entropy rather than the expected increase in entropy encountered by classical physics.
But then we are forced into accepting the universe, itself, as a sort of Schrodinger's Cat... which begs the question: "So... did this all happen when I was born... or was it the people before me who led to the decoherence of the universe?"