HELP----AC fan blows when thermostat is set to OFF

You must have been posting the pic at the same time I was typing my response.

With the switches set as in the picture, the fan should not run. Most likely the installer mis-wired something. It is possible that the thermostat is bad (not likely) or the control board in the A/C has failed. The first thing I'd do is run down the wiring and make sure it's connected properly on both the A/C end and on the thermostat end.

You can download all the wiring diagrams you need from the internet.