Yes, they are still obligated to pay you, and you could sue them for the money if they will not honor those checks. You work someplace pursuant to an agreement, whether written or oral (unwritten) under which you agree to work in exchange for certain pay. You can enforce that agreement (e.g. by suing) for up to four years in your state if the agreement was oral/unwritten, up to five years if there was a written employment contract. (This is based on the "statute of limitations," or time within which you have to sue--which therefore defines how long you have to enforce the agreement--for contracts in FL.) The employer owes you all the money you earned.