Was my local school disrtict filed with my state and local or do i need to print and mail?

Typically, once you have submitted your tax return for electronic filing, you will get an email or a notification letting you know if your returns were filed and accepted.  If your local school district return is supported within TurboTax, your school district return would be submitted when you file.  If your form isn't supported, you would have been prompted to print out the applicable forms and been provided with an address to mail your school district return to instead.

Please see this link to verify whether your local school district tax return is supported for electronic filing within TurboTax.

Please see this link for steps to help you verify whether your returns have been filed and accepted or rejected.