Hello, My name is ***** ***** I'll be assisting you. I'm sorry you're having problems.
First, the cable box status has nothing to do with the TV turning on or not. The TV should always power up when its power button is pressed- unless something is wrong with the set internally.
That being said the power light being stuck on RED- with no response from the set's remote, or its own power button does indicate a hardware issue in the TV. More specifically the mainboard is locked up, which in most cases requires this component of the TV be replaced to fix the issue.
However it's worth it to try a hard reset, as sometimes the processor in the TV can simply have locked up.
The first thing you would try, is disconnect the set from power, then press and hold the power button on the TV itself (not the remote), for 10 seconds and release. Then plug the set back in, and also check that the power cord is connected tight at the TV as well. Press power once, and see if the set powers up normally. Try this procedure up to 3 times, and please let me know what happens.