Yes, Yes, No, Yes, No. These are the answers and explanations.
>>Samuel Adams founded the Committees of Correspondence.
"Adams called for independence, and the Congress agreed to boycott British goods until the repeal of the Intolerable Acts... Adams returned to the Continental Congress, where he and cousin John continued to call for independence." (history.com) Sorry, the evidence is not good but I checked this answer and it was correct.
>>Thomas Paine did write the pamphlet 'Common Sense'.
"Although many Americans who still had doubts about the war, a pamphlet written by Thomas Paine called 'Common Sense' increased support for independence... His 'Common Sense' pamphlet argued logically and sensibly for American independence from Britain." (learning.k12.com)
>>Patrick Henry did not write the D.O.I . This answer is false.
"The delegates agreed to give a committee permission to draft a Declaration of Independence. On this committee were Thomas Jefferson, Benjamin Franklin, John Adams, Robert Livingston, and Roger Sherman. Jefferson was chosen as the person to actually draft, or write, the document." (learning.k12.com)
>>Benjamin Franklin did publish essays promoting American independence. Even though this answer is correct, I didn't see any evidence for it, so when I did the test, it was kind of like a guessing game >_<
>>Thomas Jefferson did not say "give me liberty or give me death", Patrick Henry did. This answer is false.
"'Give me liberty, or give me death!' is a quotation attributed to Patrick Henry from a speech he made to the Second Virginia Convention on March 23, 1775, at St. John's Church in Richmond, Virginia." (wikipedia.org)
I checked these answers and they were correct. ^_^ Hope this helps!