It depends. You should include all information on your W-2 in TurboTax. You should file all the necessary returns. Since I do not know what state you live in and what the rules are for working in one district and living in another district, you may be able to claim it back by filing a return for SD B. Again I cannot be definite as I do not know the rules.
All you can do is file a return for both SD A & B and see what happens.
