A) Information is not subjective to an individual.. For example we all agree on objective definitions for each word in our language. DNA code produces objective results.
B) A supernatural cause logically answers many big questions, and the evidence of it is the creation of the universe itself.. the evidence is everywhere from the visible matter to invisible laws.
A) DNA itself is not subjective, however to call it "information" is to invoke a subjective concept, since the way we perceive information is by our mind assigning value. Information doesn't objectively "exist", it is something gained by an analysis of something observed by us. To consider it intrinsic to something like DNA is using a loaded and unjustified premise.
B) It is not logical to answer a mystery with an even bigger mystery, let alone one that answers absolutely nothing. To assert the universe is evidence of this is to presume your very own conclusion, and logic doesn't get much more circular than that.