[GTP Dad]

You could have several issues. The first thing I would check is the fuel pressure regulator. It seems like it allowing fuel pressure to leak off when the engine is hot and thus it is not holding enough pressure to allow the injectors to work properly. The second issue is that the injectors could be leaking down. That could be the reason you are getting the black smoke from the exhaust when it finally starts. Finally, the problem could be with the O2 sensor sending false readings to the computer. If they are original might be a good time to change them. I hope the suggestions help.