You can't split the dependent benefits in the case of two unmarried parents living together. (There is a question that asks, "do you have a custody agreement with the other parent?" You have to answer No in the case of unmarried parents living together. That question only applies to divorced or separated parents who live apart and share custody.) Either you or your BF has to claim all the benefits.
At this point, if you paid more than half the household expenses, you can claim the child as a full dependent including EIC and head of household, and print your return to mail it in. Your BF will have to file an amended return to remove the child and pay back most of his refund that was due to the child (EIC, credits, etc.)
Or, you can file as single with no dependent, and your BF can amend to claim the child as a full dependent and get the exemption and the credit as a second refund.
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