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Always keep your original documents safe.
Do not share confidential information unless you are sure of the identity of the requestor
Always keep a copy of documents filed for US immigration cases and any Jamaican case documents.
Ask your lawyer to explain anything you do not understand, slowly and carefully.
Do not sign a document unless you fully understand it and ask for a copy after you have signed it.
That depends on when the sponsor gets a notice from immigration to say that they are ready for those fees. A lot has to happen before this step is even reached.
Generally that is not possible. Citizens and legal permanent residents cannot petition for a niece or nephew. If they are under the age of 18 you can adopt them legally and then petition for them.