Fedhaven, FL Immigration Law Firms & Lawyers

The issue is not renewal.  You don't renew your status.  Status is "permanent"--that is why they call your status "permanent resident".  The card proving your status expires and needs to be renewed, but your status won't be readjudicated.  That said, anytime the immigration service has information that a permanent resident has been convicted of a crime, they can institute removal proceedings.  Whether they learn about these offenses now, at the time you apply to renew your card, or years later won't change the fact that the conviction itself may make you removable.  Since the conviction is old, you could apply for citizenship and if you get it, the conviction would no longer present a problem for you.  Of course, the citizenship application itself could cause you to be placed in removal proceedings as well, so you may not want to try that (though some do and are successful).

Problem with the case is as you say, the acquisition of US citizenship upon the birth of your child abroad would depend (usually) on establishing the parent's physical presence in the US for a period of time before the child's birth. And without the cooperation of the parent that can be difficult. The answer to your question is that you do not need the parent's cooperation. However, finding the documentation which would establish the physical presence can be problematic without that cooperation. I know that this answer places you between a rock and a hard place, but these cases require evidence and without the evidence to support the claim of acquisition of US citizenship, the claim will often fail. Wish I could give you a better answer. Perhaps hiring a private investigator in the US to find available records may be helpful, but this will have a cost and of course no promise that the investigative services will lead to anything. Good luck.