Thats a pixel data problem, there's no data being sent to that row of pixels so they don't change color. This is a pixel address registry (PAR) issue and the PAR circuits need to be serviced its usually due to open or shorted SMT components on the PAR circuits. PAR also sends data, voltage, and control to each pixel, the green line you see are pixels that have voltage but because there's no data sent too them their all green because there's no control. If the pixels have voltage but no data or control they show up as green red, blue, yellow, or whit line vertically down the LCD panel. The vertical-horizontal section of PAR are controlled by 16 to 32 bit micro-controllers which may need replacing. If its under warranty take it back if not have your local repair center fix the tv for you...
Sounds like there is a short on the power board or the power board has gone faulty.
You will need to seek out an engineer.
Most likely this is caused by a defective main board. Changing the main board will fix the issue about 95% of the time.
To be absolutely sure, the voltages need to be checked on the power supply. If they are not the values listed in the service manual, then you should replace the power supply instead (accounts for the other 5% of the time).
Try this: got to www.sony.com mouse over "support" then click on "drivers/software" enter your model #(s) and then you can check for firmware updates, the symptoms that you list, unfortunently are somewhat common when connected via HDMI cables.
Check for updates on both product that you list.
Good luck !
I phoned sony when I had an issue with my bravia and they walked me through fixing it. I got the number from google.
I have a Sony Bravia model KDL-46s5100 that had the same problem. All HDMI ports stopped working. I don't know why this works but unplug the TV for about 30 sec, then plug it back in and hold down the power button on the tv for 10 seconds. Like I said I don't know why this works but it worked for me. Good luck.