Navy BIH and benefit?

I am into the Navy before my marital status, I told the recruiter, but because I and my wife quarrel, so I could not receive a marriage certificate and other information. Now I have been in San Diego naval base, my hands only a A copy of her marriage and the basic information, can i apply for BIH? �Also, if I tell the truth of the marital status of the chain of command. I count as committed the offence of fraud will not be expelled from the Navy.