I'm not sure what account I used or the date for my future federal and state tax payments. How do I look this up in TurboTax?

How you chose to pay the taxes owed and the date of payment will be shown on the Filing Instructions for your federal and state tax returns.  They will also be shown in the Federal Information Worksheet Part V and on the State Information Worksheet Part V, if direct debit was an option for your state.

To access your current or prior year online tax returns sign onto the TurboTax website with the User ID you used to create the account - https://myturbotax.intuit.com/

When you sign onto your online account and land on the Tax Home web page, scroll down and click on Add a state. 

This will take you back to the 2021 online tax return.

Click on Tax Tools on the left side of the online program screen.  Then click on Print Center.  Then click on Print, save or preview this year's return.  Choose the option Include government and TurboTax worksheets