I do not know why you are not responding, but you are not charged per question, per response, nor per answer. So after I give you my answer, you can continue to ask me questions without additional charge until you are satisfied. I apologize if it is a site issue that you posted and the post did not go through.
If your marriage certificate did not change your name legally to your spouse's name, then you are supposed to go through a legal name change through the local family court system. If not, you can fill out all the immigration forms with the married name, and your work permit and green card may be issued in the married name, but I cannot guarantee it. If they do issue in your married name, then continue to use the married name from that point on. One thing you should know, though, USCIS doesn't care if you change your name to the married name or not. They don't see that as more or less evidence that the marriage is real. It is up to you if you want it changed.
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