Why can’t I file state taxes with VA and NC?

Please clarify your question.  Are you trying to e-file those tax returns?

Will it not let you? Are you stuck in the endless loop?

You haven't clarified your question, but you might try clearing your browser's cache and deleting your cookies, then try picking up where you left off.  See the TurboTax Help articles How to clear your cache and How do I delete cookies? for guidance.

If this doesn't help, see the TurboTax Help articles State install/e-file update loop: State not installed after installation or TurboTax needs to update prior to e-file and Why am I stuck in a loop in the File section of my return? for guidance.