If you haven’t tried yet ,lower the neck pick up ,or like you said bad fret job , frets or neck pick can create buzz and a metallic type of buzzing , neck relief should be around 10 thousands with a feeler gauge ,press down on first fret and 15th check in the middle of that . Around 7th or 8th fret, you can use a capo at first for an extra hand
My business card comes in at .015". Just checked. It was rubbing a bit so I would say I'm close to .010. Are you meaning the neck pickup can pull the strings towards the fretboard? I don't have it set super close. I like how it sounds where it is. In fact, after yesterday I'm not too concerned about the neck anymore. But I will call the tech and give him a chance because it shouldn't rattle at my current action height. As mentioned I set them all at 3/32" from the 12th fret. With 9's on there it plays good.