The Jamaican Consulate has no jurisdiction over the issuance or renewal of US Green Cards. That is the role of the United States Immigration and Citizenship Service.

You can find more information on the Green Card renewal process on their website here:

Replace Your Green Card

If you are a lawful permanent resident, you must replace your Green Card if: Your Green Card is either expired or will expire within the next six months; Your previous card was lost, stolen, mutilated, or destroyed; You received your card before you were 14 and you have reached your