One thing that you do not mention is whether you are operating under a trade name or a name that is trademarked or registered in some fashion that identifies it as yours. It is possible to have a store called Pat's Plumbing Supply in Brooklyn and another one by the same name in Queens.
Consult with an attorney to understand the situation and what you can do.
Talk to a lawyer with a background in business law and intellectual property.
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Do you have a trade name? You need to give more details and to consult with a business attorney in New York.
Sebastien Gaddini is a Business Lawyer, licensed in New York and Paris, who has been working for top tier international law firms. Phone: 646-845-0411. Email: firstname.lastname@example.org. Website www.gaddinistark.com. This answer is for general purposes only and does not establish an attorney-client relationship.