Fortunately, only your first submission will be accepted by the IRS and your State. Any subsequent filings are kicked out and not processed.
If you received a letter from your State, it should list in detail what information they are requesting. In my experience, the thing they request most is a copy of your W2's. If you are unsure what they need, you can give them a call: How do I contact my State Department of Revenue? Your state refund will most likely be delayed until you get them the requested information.
Please note, if there is a W2 or other income that wasn't reported on your accepted returns, you will need to update them by Amending your returns. See this TurboTax guide for more information: How to File an Amended Tax Return with the IRS.