|You can turn the TV on but it shuts off by itself? First check to see if it has a sleep function where it turns itself off after a certain amount of time or at a certain time. If it's not that then it's some power problem, either at the wall socket, the power cord or internally in the TV.|
If remotes don't work replace the batteries. Make sure the remote sensor on the tv isn't covered or dirty. If that's not it then look for a replacement on ebay.