I just installed and connected my 02064C station. Most of the displays seem to be correct, but there is no learning mode icon in the Forcast window, the umbrella button doesn't do anything, and the 'up arrow' doesn't cause anything to display in the Weather Select window.
I have the same model from Costco. I have the "head" icon and none of the problems you mentioned. I had a hard time with the software, but turns out I was just too ambitious for the unit without the "bridge"- which I didn't purchase. Sounds like you got a defective unit. I wish there was a way to transmit data to iPhone/iPad app without purchasing the Bridge- which is almost as expensive as the unit.