You need to hire an experienced attorney in your area. Costs depend on experience and reputation. I recommend Mathew Kolken in New York
There is no point in "appealing" a denial decision on your asylum based EAD application if the infamous "clock" is stopped in your case (blame the judge). Any appeal under such conditions will be futile and a useless waste of time. On the other hand, the judge will understand that while you are in removal proceedings in immigration court you've got to feed yourself and your family? And got to earn a living. Nothing will happen to you (more than it has already) if you work without USCIS authorization. What are they going to do to you? Place you in removal proceedings twice?
Behar Intl. Counsel 619.234.5962 Kindly be advised that the answer above is only general in nature cannot be construed as legal advice, given that not enough facts are known. It is your responsibility to retain a lawyer to analyze the facts specific to your particular situation in order to give you specific advice. Specific answers will require cognizance of all pertinent facts about your case. Any answers offered on Avvo are of a general nature only, and are not meant to create an attorney-client relationship.
It seems you cannot appeal it. Appears your refilling is after you've been in the US for over 12 months. There is no EAD available in this instance.