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First it is an "invoice" not a "voice". Then the correct sentence is:- Dan reported that the contractor had sent in his invoice.
Yes.
In this sense, "reported to work" is correct. It's just an awkward sentence. You could change he first option to "reporting for work" and that would also be correct, but the position of the preposition is incorrect.
No, The correct grammar for this sentence would be, "He finished doing his homework."
their
No. The correct way of saying it is: "I promised to send you".
No, the sentence is incorrect. Correct: After the professor finished, the class was very confused.
Both are correct. Both are parts of sentence in reported speech. In reported speech it is ok not to use 'that'. He told you that if you come you will have to work hard. He told you if you come you will have to work hard. These sentences are also conditional sentences - if..............will.............
"How are you" is a correct sentence.
A and
Yes, this sentence is correct.
Well, it's almost correct. But since it asks a question, it should end in a question mark (?). I would also call it an interrogative sentence rather than a demonstrative sentence.