Hullin 101: The Torah Is Not in Pieces

On the sciatic nerve of the carcass of a kosher animal -- is there a way out of the punishment for the forbidden food? What happens when there's more than one prohibition, but they are only tangentially connected? Plus, the Gemara does some digging to determine which sage was partial to which approach. Plus, the order of factors that make a given piece of meat prohibited - that order can make a difference in the consequences as well. Also, Jacob and the angel, again. But is the prohibition contingent on the people being called "the Children of Israel"?!? Was the Torah given piecemeal, or all at once at Sinai?