YOUR FICO score looks fine, BF's FICO maybe.
The question is - can your income and any other debt allow you to afford this rent?
And then just because you can afford it is not always sufficient reason to do it/buy it etc.
You want to be able to pay off debt, build an emergency fund and save for the future - replacement of vehicles, buy a house, kids etc.
If you do not have a budget - now is the time to set one up. Track ALL your spending to the dollar - that will help you know where your money is currently going.
Read Smart Couples Finish Rich by David Bach