The absence of a population also makes burials a good deal less possible.
Sure, now. ;') Any traces of ancient / prehistoric human habitation in Antarctica would pretty much have to be on the continental shelf, from the era when glaciation elsewhere caused sealevel to decline by hundreds of feet (perhaps as much as 800, that's about what it was in the Bering Strait). All other things being equal, it's warmer at lower altitude. Since ice has been flowing and falling off Antarctica for a couple million years or more, any such traces could very well have been blotted out.