Problems with my RCA TV?

I just got a RCA 20' inch TV from Value City. I know it's refurbished but it should at least work properly. When I plugged it in Theres a sunburst green color in the lower right hand side with a blue backround on the TV. When I plug my cable in to it, the cable picture is discolored where the green would appear with no cable plugged in. The picture besides that is also bad. It's badly distorted with haze and discoloration. Will I have the same problmes if I go back and get another one or should I just get a new TV from some where else?