First of all you don't need to leave USA and go away and the question regarding should I forget about Green Card? No, not at all. What you do is when you file I-140/I-485 make sure you mention your correct date of birth. Try to get your documents corrected, if you cannot get corrected have your lawyers file affidavit explaining what happened. But always go with correct date of birth. Have we done this in the past? Yes we have. Have we had the problems? Little bit. We have to make sure that government understands it what the reason is and that we are just not being cute and trying to take advantage in some ways by creating the false identification. As long as government is convinced about that I usually see no further problems. So just don't give up, there should be detailed explanation, we should make attempt to make sure that you have corrected all the information about your date of birth on your passport, your school certificate. Whatever you can correct it, whatever you cannot correct document it. So, yes you do need your correct date of birth and because the documents for immigration in the United States are all filed under the Penalty of Perjury, your information must be correct.
Unless the context shows otherwise, all answers here were provided by Rajiv and were compiled and reported by our editorial team from comments and blog on immigration.com