I filed my federal taxes and used my bank info for the payment that I must make. I was going to file my Massachusetts via the mail and send a check, but my printer was having problems. So, I also e-filed my Massachusetts returns. I am not sure if I need to write a check or not to the state or will my Massachusetts deduct the payment from my bank account directly.
You may need to call your state to verify.
List of Department of Revenue by state List of state DOR's
If you want to check the debit date you specified, look on the filing instructions for your return. It will tell you the debit date the IRS or State will deduct the payment. If you did not print them out you can view them using the following steps:
TurboTax Online
TurboTax CD/Download