You won't be able to e-file your State until your Federal return has been accepted. You can print & mail your State.
Just to let you know, the IRS has deferred payments of taxes owed to 7/15/20, which means you can pay taxes owed by that date. You need to file your return by 7/15/20. If you decide to e-file your Federal return, then choose to pay your taxes owed by check.
When you are ready to pay:
You can make your payment when ready on the IRS website by direct debit, credit card, or direct pay.
https://www.irs.gov/payments/pay-taxes-by-electronic-funds-withdrawal#errors
Or, as stated above you can pay by check. You will need the Federal payment voucher 1040-V to mail with your check.
https://www.irs.gov/pub/irs-pdf/f1040v.pdf
[edited 3/25/20]
https://blog.turbotax.intuit.com/tax-news/is-the-tax-deadline-delayed-what-to-know-about-coronavirus...
