This doesn't sound to me to be a good case under New York's Falso Claim Act, as I don't exactly see from the facts provided exactly what the false claim is. Perhaps they are negligent, but the False Claims Act is really about stopping others from committing fraud. It would not hurt to talk to attorney about it, of course, but personally I don't think I would bother.
I believe you have asked this question a number of different ways over the past couple weeks. You will need to report the inproper product handling before you are eligible for a whistle blower suit.
This answer does not constitute legal advice and you should contact an attorney to confirm or research further any statements made in this answer. Any statements of fact or law I have made in this answer pertain solely to New York State and should not be relied upon in any way in any other jurisdiction. Additionally, we also encourage you to reach out to us via Twitter (https://twitter.com/#!/WhiteRoseMarks) or Facebook (http://www.facebook.com/WhiteRoseMarks) if you have follow up questions as we do not monitor questions after providing an initial answer.
There are some False Claims Act cases involving adulterated and misbranded drugs and medical devices, but the situation you describe appears to be more properly addressed to the Food and Drug Administration, or even your company's own compliance department. If the violations are widespread and condoned by management, then a call to the FDA would appear to be appropriate.