I believe I scheduled it to come out on April 12th from my notes, but I am not seeing any withdraw from my account.
The TurboTax FAQ below will explain how to access your "Electronic Filing Instructions" page. On that page, you'll see the options you selected, including the date you requested for direct debit.
Each return will have a separate Electronic Filing Instructions page, so you'll see the state one as the first page of the PDF of your state return.
As far as the status of the debit, only your state Department of Revenue will know that.