Conversion and marriage contract

Good day to all!im geleen from Phillippines..I embrace Islam this year month of april.and i got married in my Indian husband but the problem is in my conversion paper my name is only fatima and in my marriage certificate its geleen fatima..Can someone tell me what the process should be done in this situation coz i want to get a passport with my muslim name..can conversion certificate ve ammended??coz iwant to follow my name in m marriage contract..please help..waiting for your response.
Thank you in advance

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