USCIS must renew your card as that is a ministerial duty. Only an immigration judge can take away your status. With that said, you should seek counsel immediately as any fraud charges / convictions can lead to removal proceedings. As well, you may have an argument that USCIS improperly denied the N400 as the incidents took place outside the good moral character period. Please retain counsel immediately.
The issue will be whether the "criminal charges," as you put it, can be used as grounds to place you in removal proceedings as a lawful permanent resident. There is no good moral character requirement for the renewal of your green card. Whether or not these "charges" could be used as grounds of removal from the U.S. should be discussed with an excellent immigration attorney. Search Avvo for an experienced attorney. An attorney would not venture a definitive answer before reviewing your case and discussing it fully with you.
No attorney-client relationship is created or implied by this communication. To contact this attorney see his profile; attorney number: 281-733-2875.
I bet you did it pro se. As one of my colleagues eloquently pointed out there is an old English adage: those who represent themselves have a full for a client. Please listen to Justice STEVENS in Padilla v. Kentucky, 130 S. Ct. 1473 - Supreme Court 2010 - "Because nothing is ever simple with immigration law, the terms `conviction,' `moral turpitude,' and `single scheme of criminal misconduct' are terms of art"); id., § 4.67, at 130 ("[T]he term `moral turpitude' evades precise definition" Immigration law can be complex, and it is a legal specialty of its own. Some members of the bar who represent clients facing criminal charges, in either state or federal court or both, may not be well versed in it.
If attorneys who are not practicing immigration law yet well versed in other areas of legal profession can often make errors in foreseeing immigration consequences of criminal convictions, what can be expected of people without legal training? For some, these words are a theoretical excesise, while others find out in personal experience. Hence, maybe time has come for you to seek professional help?
NYC EXPERIENCED IMMIGRATION ATTORNEYS www.myattorneyusa.com; email: email@example.com; Phone: (866) 456-8654; Fax: 212-964-0440; Cell: 212-202-0325. The information contained in this answer is provided for informational purposes only, and should not be construed as legal advice on any subject matter.
You must consult with an immigration attorney as to the charges and time of the conviction in order to determine whether they can lead to removal proceedings and whether you qualify for relief.
If the criminal charge makes you removable from the US it will likely affect your resident card renewal.
Before you get that far, have a consultation with an immigration attorney.