In any case if that reboot did not do it then i have enough info for a diagnostic anyway and i can tell you that so far your main board looks fine if it still responds to the remote but the power supply circuit is not doing its job hence the power light going out again
If you are into this you can get that board at the link below for $65 , just click on it ;
If that is not your cup of tea so to speak then to have this repaired at home could cost you around $250 to $300 parts included and perhaps $50 less if you take it to the shop yourself .
If you need to find repair shops near you then look at the link below and enter your zip code ;
This will give you a list of NESDA member repair shops in your area.
This list may be limited though and you may find more the yellow pages or simply google "tv repairs" and the name of your town .
You could give a call to different shops in your area to get an idea of their rates , it pays to shop around .
So there you go , you have your answer whether the reboot did the trick or the tv needs repair
Let me know if you have other questions and if not then please do take the time to rate by clicking on the star icons at the top, then click on Submit so i get paid for my time helping you .
Also note that it will not close this post , you can come back here at any time if you need further info or help .