If you do not mind me jumping in here, I was kind of thinking it could be a fuel delivery issue (bad pump) and not necessarily a charging system problem. A simple test is to spray some starting fluid down the intake when it will not start, then crank the engine and see if it fires. If it does fire and then shuts off, it is a fuel flow issue. You would need to borrow a fuel pressure tester from the local auto parts store do a more thorough test of the pump.
Let us know.
Friday, January 12th, 2018 AT 8:04 PM