DC and Virginia are reciprocal states, which means you don't have to pay tax in either state on income earned if you work in one but live in the other. So, you can't get credit for tax paid to DC when you were living in Virginia, because DC does not tax your income if you live in Virginia.
So, you can't take the credit for tax paid to another state, that is why you can't enter the DC code when you are a VA resident.
The simplest way to resolve this issue would be to delete the state returns and start them over.
If you had tax withheld by DC on income you earned while a resident of Virginia, you can indicate that on your DC return and you will get a refund from DC of the tax withheld.
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