Hi Mike - okay, so right now you're lacking a bit of theoretical grounding here. Really you're looking at the tension between freedom of speech and identity politics - we can be who we want to be and we can think and say what we like... or can we?

Identity politics is born of relativism which is arguably the output of poststructuralist ideas - those ideas of Derrida etc that attacked fundamentally the idea of 'fixed systems of logic' - and the power structures they created around them. Put more simply, if you agree that Man/Woman is a binary opposite that secretly empowers the Man over the Woman, you can challenge that logic, and thus challenge everything that logic creates in culture (i.e. jobs for boys, jobs for girls and so on). Therefore, I think your chapter 1 needs to be much more rigorous in terms of contextualising the various critiques that have given rise to identity politics (and thus to the idea of political correctness). I think perhaps your structure might yield more positive results if it looked a bit like this:

Chapter 1: Poststructuralism & The Rise Of Identity Politics
Chapter 2: Freedom Of Speech vs Political Correctness (this would include Populism)
Chapter 3: Southpark - A Case Study