What have you done to diagnose your issues ?
I figured out the fuel problem. Fuel pump was not pumping enough fuel so went bigger.What is exactly meant when you say the battery “will sometimes not be charged”?
Given your doing cranking without the engine firing it can be more amps are being removed that the alternator has run time to restore. This then leads to the question of whether you are using a charger to pump the battery back up between cranking rounds?
Have you checked battery voltage with a reliable gauge? If so what is the value? Additionally with engine not running if you load the battery with lights on, stereo on, etc. where does the voltage go and with everything turned off in like 5 minutes later does the original voltage return or not?
What I’m trying to get at is whether the battery is holding up its end of the bargain.
Bogie