First. If your return is rejected by the IRS, that indicates a mis-match between something on your return and something the IRS thinks they know about you, and your return is not passing basic validation checks. What is the code number?
If you can't fix it or don't want to try and fix it, you need to print and mail your return. Go back to the program and change your answer from e-file to print and mail.
Second, you can't e-file a state return unless you also e-file your federal return, this is a security measure by the states, not turbotax. Print and mail your state return as well. (Don't worry if the program says that state e-filing is required, this is an exception.)
Third, if you paid your turbotax fees with a credit card, this covers preparation and filing. E-filing is never guaranteed because sometimes things happen that are out of Turbotax's control. You got a valid return, you just have to mail it. The only time you pay extra specifically for e-filing is when using the program installed on your own computer (desktop version) and you pay an extra fee to e-file your state return. In that case, you need to call customer support for a refund.
Fourth, if you selected that you would pay your income tax with a credit card (not with a bank draft), then that tax information is not sent to the IRS, it is sent to a third party card processor, and that card processor might have gotten the information even though the IRS rejected the return. That's ok, it will go to your credit and the IRS will match it up when they get your mailed return. Just make sure that, when preparing to mail your return, you change your payment answer to "I will mail a check". That way, a second payment won't be included (and you obviously leave the check out of the envelope if your credit card was already hit for the tax).
However, be careful about the difference between your turbotax fees and your income taxes. If the credit card processor was not informed, then no payment will be made. So you should check your credit card statement for both your federal taxes and state taxes (if you owed both), make sure the payments were made before April 15. If not, you can make a payment directly on the IRS or your state tax web site so you won't be considered late.
