I've always been puzzled by the ending of the famous discussion in chapter 11.

"And your defect is a propensity to hate everybody."

"And yours," he replied, with a smile, "is wilfully to misunderstand them."

I wonder about two things

(1) Didn't Lizzy cross the line in polite Georgian society when she told Darcy he 'hate[d] everybody'?

(2) When has Lizzy has demonstrated to Darcy that she wilfully misunderstands what people say? I have looked for evidence, but I've found little.

I am sure the denizens of RoP will be able to enlighten me.