I don't believe there is any seperate penalty for a late payment. If payment is not made at all, then the employer may be liable for double damages and attorney fees.
Not that I am aware of, especially not for three days.
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Yes, an employer is subject to penalties and fines. Article 6 of the me York labor labor law governs payment of wages. Sections 197 & 198 provide for civil and criminal penalties for violations of article 6 . Sections 191 governs frequency of payments. The civil penalty stated is $500.00 plus costs. A claim can be initiated by contacting the New York State department of labor.