Question 3
Luck has nothing to do with it.
The statement above is a sentence fragment.
The statement above is a complete sentence.
Question 4

The statement is a complete sentence.

Explanation:

The question is, do you need more information to understand what is said?

I think the sentence is just fine. You get the idea of what it means immediately.

For example if you had a sentence that said

Because I practiced throwing a curve ball, I struck the batter out.

and then you followed it with

Luck had nothing to do with it.

You should understand that I got the batter out, and luck had nothing to do with it.

paine is arguying that they had tried everything before coming to the conclusion that they needed to fight for their freedom.

argument: "every quiet method for peace hath been ineffectual."

claim 1: "our prayers have been rejected with disdain; and only tended to convince us, that nothing flatters vanity, or confirms obstinacy in kings more than repeated petitioning and nothing hath contributed more than that very measure to make the kings of europe absolute."

claim 2: "wherefore, since nothing but blows will do, for god’s sake, let us come to a final separation, and not leave the next generation to be cutting throats, under the violated unmeaning names of parent and child."

answer: gfdhfghfghfghfg

explanation:

hfghfghgfhfg