Well, I can actually tell you that rates are currently closer to 5.25 and 5.5 than they are 5.8 - depending on your credit score. Your broker might have their hands tied because whatever lender they have you locked at 6.00% with, you are not going to be able to reduce it. You need your broker to either switch lenders for you or you need to find a new mortgage person. Since you must be on title to a home for 12 months to refi an FHA mortgage, I would seriously tell you that now is the time to do this because it will take you so long to refi the loan.
If you have any questions on your loan or if you would like another price quote for your scenario, I'll be glad to help you. You can send me an email with your credit score and loan amount and I'll price it our for you through my bank. It might help you at least a better informed decision.