It will not turn on! it turns on an turns right back off?

It is typical fault for most of the sony colour telivisions. Most common fault seen till now is shorted LOT. If LOT is short, normally horizontal output transistor may also short. There is a short circuit protection circuit in the power supply section of most of the sony telivisions, which will detect the short in the circuit , and will turn off automatically as you described. The process will repeat as you seeing now. Each time the power supply will turn on, it will detect the short and turn off. This process will repeat till you switch off the set. At first remove the horzontal output transistor and switch on the set and look for a constant LED lighting. If the LED lichts constantly, surely horizontl output section has a fault, a short. Detect the reason and rectify it.