There's more entropy in my hot cup of water than in the whole internet.
The entropy (a measure of possible surprise) of the Internet includes not just the hardware and software but all the biology of the humans interacting on it, which is not just a product of their DNA. There is a lot more water out there interacting with the Internet than in your cup of water.
This is where you are simply wrong concerning the concept of entropy, and where you deify it.
I think that as long as you haven't cleared that up, you will use the concept in a "magical" way and be misled by otherwise correct claims about it, like the second law of thermodynamics.
It is this kind of erroneous handling of the concept that also leads creationists to claim that evolution is not possible because of the second law of thermodynamics, for instance. This is because they use the notion of entropy outside of its established, well-defined domain, but hope to use results that are only valid from within that well-established domain.
No offence, you are a brilliant guy, but don't fall in the trap of using precise mathematical/physical notions outside of their domain of definition in a hand-waving way, and hope that their rigorous properties from within the well-defined logical system still mean something.