The article is bad, but the point of silly analogies to various technologies remains.
Regarding the questions you addressed, my suspicion is that the brain's primary trick is to model the organism and the environment. Planning ahead, reasoning and synthesizing knowledge can all happen if you can do that. I'd argue (and of course I'm biased) that control theory is probably a better place to start thinking about the brain, in that light, insofar as building models of the world is important.
Information processing as basis for human existence is not an analogy once you accept a very basic premise of what information is. It is the literal description of what is going on, even on the biological level. I've mentioned DNA, the immune system is another example.
If you want to be successful in a complex world, survive, replicate, you will profite massively if you know what is going on around you better than that other thing that wants to eat you. If you can grasp the structure of the physical world and predict its changes, you will come out on top. Information processing is an evolutionary necessity, because we are grounded in a physical world. Information is the successful way to deal with the world, because it gives the organism a choice.
Control theory is great if you want to describe real valued in- and outputs and their relationship over time. Like throwing a ball. But at some point we need to become discreet and abstract the real valued domain of space and time into symbols.
Regarding the questions you addressed, my suspicion is that the brain's primary trick is to model the organism and the environment. Planning ahead, reasoning and synthesizing knowledge can all happen if you can do that. I'd argue (and of course I'm biased) that control theory is probably a better place to start thinking about the brain, in that light, insofar as building models of the world is important.