This is Kevin Krause from Sony Support USA. I am sorry to hear about the problems that you are having with your KDFE60A20. Have you tried visiting Sony's esupport site. The page for you model can be found here http://esupport.sony.com/US/p/model-home.pl?mdl=KDFE60A20&LOC=3 and will provide you with some helpful troubleshooting tips and even opportunity to set up a repair for your TV if needed.
Sony Support USA