You should use the current address on your amended return so that they will send any correspondence on it to you at a good address so you will receive it and can act on it as soon as possible.
Here is the information from the Instructions for Form 1040X:
Change of address. If you have moved since you filed your original return, enter your current address on Form 1040-X.
Look to see what error you are getting...is it an error from the state thinking you are filing the state return in error since you don't have the state name in your filing address?
