David Thoreau and Martin Luther King Jr. both in similar ways use rhetorical devices to intrigue the reader about the duty of us as Americans and the rights of colored people in Thoreau's, "Civil Disobedience" and King's, "Letter from Birmingham Jail."
This sentence gets confusing. Cut back on the little words so that the main point can stand front and center. You might rewrite it like this: David Thoreau, in "Civil Disobedience," and Martin Luther King, Jr., in his "Letter from Birmingham Jail," use rhetorical devices to call the reader to action in the fight for equal rights.
They both in their pieces use plenty of allusions, anaphora, and rhetorical questions to hold on to the reader as they read.
Both authors use allusions, anaphora, and rhetorical questions to engage the reader.
In Dr. King and Thoreau's pieces they address the wrongs being imposed on African Americans to their religious leaders and their peers.
King's and Thoreau's pieces address the wrongs imposed African American religious leaders and their peers. (You need to make King possessive as well or it look like King and Thoreau created writing together).
Why is Thoreau just Thoreau while King gets Dr. before his name? Yes, I know that King had a doctorate degree, but to keep the comparisons more parallel, I'd omit the Dr. except at the beginning where you introduce King. I'd also add the Henry to Thoreau's name the first time--Henry David Thoreau.
By Thoreau continuingly asking questions, he is questioning the reader's opinion on the situation.
He isn't questioning the reader's opinion, he is asking the reader to form one. "Continuingly" isn't a word. Try something like this instead: By Thoreau continuously asking questions, he prods the reader to form an opinion on the situation.
He is leading his audience to be more lenient on his grasp of the problem.
"Lenient" is the wrong word here. Try: He is leading the audience to grasp an understanding of the problem.
Sorry! That is all I have time for right now. Let me know if this assignment is still pending.