After a named storm, a lot of paper gets put in front of homeowners quickly. Some of it is fine. Some of it should not be signed.
A large deposit up front
Materials get delivered before payment in this trade. A demand for half the job before anything arrives is a warning.
An offer to cover your deductible
It is insurance fraud, and it is your name on the claim, not theirs.
No licence number on the document
It should be printed on the contract. If it is not, ask why.