Retain an experienced criminal defense attorney. You may qualify for a first time offenders program. If you complete the program, the charges are dismissed and you can have the case expunged. Good luck.
You need to contact your immigration attorney immediately. The immigration consequences could be more of a problem than the DUI.
This information does not create an attorney /client relationship and should not be use or relied upon to make any decision in your case. Only consultation with your own attorney can provide you with the advice you need for your case.
I would recommend having both an attorney for the criminal case and an attorney for the immigration issue. Many attorneys that focus upon criminal law have some working knowledge of immigration issues. You need to contact a criminal defense attorney immediately and began working on this case.
This is not intended as individual legal advice and there is no attorney client relationship established by this answer. It is advisable that you seek individualized legal assistance. This is not a substitute for hiring an attorney.