first up, try this. unplug the tv from power. then hold the power button in and plug it in. does it come on? if so, while still holding the power button, unplug the tv, wait a few seconds and plug it back in while STILL holding the power button. If it comes on, then it is a simple solder point to get it to work the way you want.
as for the remote, go buy a cheap universal programable remote