Just a little bit of editing and rewriting
For the first paragraph (into): the sentencing starting with, They argue that trigger warnings can stifle classroom debate, should mention the sources and authors specifically. And explain how the authors you will be discussing argue certain positions and discuss the topic through social and academic contexts.
In second paragraph: for the first sentence, on (456), Include authors last name with citation. Include some analysis as to whether you think the author does a good job of convincing his audience with his argument. Also include a transition sentence for last sentence.
Third paragraph: Have a topic sentence where you will explain not just the position, but also the context and the effectiveness of the claim. Also include a transition sentence for last sentence.
Fourth paragraph: include paragraph number or page number. Explain whether or not you think this authors argument is convincing. Also include a transition sentence at end.
Fifth paragraph: transition sentence at end.
Sixth paragraph: For the sentence According to Lockhart, judicious use of trigger warnings is fundamental in improving classroom discussion and participation (62), put authors name. Explain what makes her argument effective. And transition sentence at end.
Last paragraph (conclusion): What makes this authors claim more convincing than the others?