Will not crank over the battery and alternator are good?

So, I checked the fuses under the hood, they're all okay. Battery is under warranty, and I'm only assuming the drainage is from the missing fog light as it has had open wires because the fog light flew out from under my car while driving on the freeway, which ripped the wires. The car still started and went after that. But slowly got where the battery started draining incessantly and so I got a new one. Then again, here 3 or so months later, but now it's even sketchy to start with a jump. The fog light harness and all have not been replaced but I put black tape on both wires separately and even after jumping and driving it still won't start without a jump and the battery was mad drained after a full night not being driven. I'm assuming I should fix the light before continuing with the battery. No? And also I disconnected the battery while it was on and it stayed running once I got the battery charge enough to start it so doubt it's the alternator. And as far as the starter it starts right up when there's enough power in the battery to start it.