Taking a further look at your video and a closer (magnified) look at your images It appear that the fuel flow you are seeing from the pipe is coincident with the action of the fuel pump. This leads me to believe that the relief valve is stuck in the open condition and is allowing fuel to simply exit the fuel rail without building any pressure. [If it was a case of over-pressure relief it would be more like a short burst of fuel, then nothing, as pressure in the rail equalises and the valve closes.] If the relief valve is stuck/failed open, you would naturally have low fuel pressure (code) and no start.
I believe that Kia will not sell relief valves separately, only the fuel rail. You can get valves on ebay ........