Screws are falling out? When did you last service your flute? You should service it yearly and they tighten al the screws and that sort of thing, but if it has recently been serviced then this cannot be the problem
Do you have a flute screwdriver? (you should always keep one) If you have experience in what you're doing, you could put them back in yourself, but if not, take it to a music shop as any tightening or loosening of screws will alterr your rod's position. Hope this helped a little
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