Hi. You have not submitted the counterclain this question refers to. Which makes it impossible for this question to be answered. However, I will try to help you as best I can.
It is only possible to answer this question if you read all the text it refers to and understand the topic of the debate in which King is participating. Next you should read the counterclaim the question is referring to and identify how King might disagree with that.
A containclaim is presented to contest a previously presented argument and a rebuttal is presented to show disagreement with the counterclaim. In this case, King presented an argument, which was challenged by the counterclaim, and then king refuted the counterclaim by showing how incorrect it is.