When the motor heats up, the spark plug on the driver's side become black and the exaus smoke comes out black too. What can cause this problem?

This sounds like your burning oil in the cylinder. Either you have a broken piston ring, or you may have a valve guide letting oil into the cylinder. When you say the spark plug on the driver's side becomes black, do you mean on the outside of the plug, or on the plug itself when it is removed from the cylinder head? If it is on the outside, you may have a valve gasket leaking on it or you have a cracked cylinder head that is leaking oil into the cylinder and onto the plug itself on the outside. Have a compression check done on all cylinders. If there is a crack, leak or bad valve guide it will show up. You also may have a hole in the cylinder. Does the engine run ruff? Check the oil and see if water is getting into the oil. That may indicate a head gasket or cracked head. Good luck.

Black exhaust defines high carbon production, high gas pressure

I put in new fuel pump didn’t fix it. Still blacks out rear driver side plug and it’s got a miss

Didn’t do this till I drove it along time

I’m having similar issue but mine just blacks out rear plug causes miss haven’t figured issue yet also strong fuel smell. I think bad injector