Payments made for 2019 get included on the tax payments worksheet....again its pretty self explanatory, have you looked at the inputs?
1040ES Worksheet is for setting up estimated payments for 2020.
Because i have received a notice from Indiana department of revenue that 2019 tax due is $63 and I did put the amount on tax payments worksheet and dated for 03/15/2020 so I am not sure if they will take the money by 03/15/2020 or it will be like estimated payment for 2020 tax year?
The tax payments worksheet is where you input the taxes paid for 2019. It isn't used for any 2020 input.
If you want to have an amount due paid, you would indicated that in Part IX of the Information Worksheet. You (of course) have to have the bank information entered there so that the payment can be withdrawn on the date the client elects.
Sounds like you included that as taxes previously paid for 2019.
If there is a balance due on the return, and the return has already been filed, you'll need to have your client send in a check with a payment voucher.