Thank you pepsico, wonderkid and karri2008 for the advice, Lets keep the contact here, by sharing our experience here we help ourselves by helping each other also our efforts will help the others whom will walk on our shoes one day on this rough long road.
Today I went to SS# office from the door they asked me: "What is your stats?" and I kept answering "Pending Asylum, Asylum Applicant" they accepted that. But when I went to the Window where the officer is, she asked me about my passport but I gave her the EAD card C08 1st then the passport Second "Notice they want a VALID passport" I do not know what you can do if your passport is expired, obviously I assume you can not renew it in your COP embassy here because of your safety measures, anyhow mine is still valid. The officer checked the EAD and the passport then printed to me a paper with my name and info, she asked me to check the spelling of my name which I did and then she gave me a receipt saying that my SS# will be mailed to me within 14 days but I expect it within week I hope.
P.S.: When the officer at SS# office gives you a printed paper containing your name and your info read that paper carefully, any mistake here will be a mistake on your SS card or your file records. For example just now while I am checking my receipt i discovered the officer had misspelled my street address! Tomorrow I must go back to their office again because I do not want my 1st SS card to be lost or delivered to the wrong address!