1. A fascinating question to which we do not have a good answer. We fundamentally do not understand the connection between which cells compose a circuit and how that circuit is related to the spatial and temporal characteristics of the information that it processes. To make an analogy to electronics, we can look at the retina and say "oh, this must do something spatial" and we can look at the tympanic membrane and say "ah! this must do something with frequency" but if you were to compare the purely cellular structures of visual and auditory cortex, you might notice that there were a bunch of spiny stellate cells in layer 4 of one region that were not there in the other, but what that means? We haven't the faintest idea. Note also, that there have been many reports of people with sensory deficits (i.e. blindness, or deafness) having "gain of function" in other cortical regions. It is not clear that this is actually what is going on.
2. Yes. This we do have very strong evidence for. Visual, auditory, somatosensory, olfactory, etc. cortex are present in all mammals and the connectivity patterns between them an other brain structures are conserved. Birds do not have laminar cortex but instead have nuclear (or nucleated) cortex where functional units seem to be organized into nuclei or bundles of cells rather than layers. However, the genes, connectivity, and function of these units seems to be strikingly similar to that of laminar mammalian cortex [0].
3. Cortex is problematic. All vertebrates have basically the same peripheral circuitry for measuring the world. Rods, cones, merkel disks (touch), tastebuds, and olfactory sensory neurons are all highly conserved. So in that sense the answer is yes. We we get to cortex, things change. There is no evidence that there are fundamental cytoarchitectural differences between language. There might be between hearing and deaf, especially if the individual has been deaf from birth. See Carla Shatz work on cortical development [1].
4. No evidence for this. We don't have a very good understanding of how or even whether certain gross anatomical features are related to intelligence. The Human Connectome Project is probably the closest to having population data that could answer the question. Otherwise the geneticists are way ahead [2], but we don't know how their results are manifest in the brain.
0. http://rstb.royalsocietypublishing.org/content/370/1684/2015...
1. https://www.ncbi.nlm.nih.gov/pubmed/8895456
2. https://www.nature.com/articles/mp2014105