I did check the Radiator Fan itself to see if it works by connecting directly to the battery with two cables. It works.
So is my problem as simple as buying a new Radiator Fan Switch and plugging directly to the wires that come out of the Radiator Fan? And does the switch pictured below connect directly to the wires coming out of the fan?

Thanks in advanced and please excuse my ignorance as I'm new to the idea of trying to fix my own fiat.