The board that you have pictured is the ac input board. It connects to the main power supply. Frankly, if you can't figure out what the power supply is, you likely should not be trying to DIY a repair like this and should refer the set to a professional. It is unlikely that you have the equipement needed to test power supply capacitors, nor the knowledge to discharge them safely. Please be very careful.
I would not jump to any conclusions about swapping boards. More troubleshooting will need to be done, measurements taken, parts tested, etc. If you see some puffed up electrolytics in the power supply, then you can assume that they need to be replaced. Beyond that, you will have to troubleshoot the set.