Yes. If you live in Louisiana, you are required to file a return there because Louisiana has the right to tax all of your income regardless of where you earn it. They give you a credit for the tax you pay to Arkansas for the work you do there, and apparently you are entitled to a refundable credit in Louisiana which is producing a refund. I can't see your return in this public format but believe that your return could well be correct. But you are required to file a LA return.
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