After two weeks of unsightly picketing and the (even more unwelcome) presence of a giant inflatable union rat in genteel Gramercy Park, Local 6 of Unite Here and the Players Club reached an agreement Friday afternoon. It reinstates sixteen union members from the club's restaurant and bar operations who were fired as a cost-cutting measure. John Turchiano, a union spokesman, said the terminated union members return to work today with back pay. "They got everything they wanted, and now we will sit down with management and try out to work out any financial difficulty now that they're abiding by an arbiter's ruling," he said, referring to an arbiter's January 15 ruling ordering the Players Club to reinstate the terminated employees with back pay.