many taxpayers are experiencing delays on their federal refunds but few on their state refund.
check your return - the direct deposit info. if the state said it made a refund and it was deposited on 3/19, it would be logical to assume, but maybe not the correct reason, that either the routing number and or a/c number was bad. the state would then get the money back and mail you a check. can't give a timeline for receiving it. if both are correct call back the state and ask for a refund trace.
it seems you successfully e-filed the state. to do that the federal must be successfully e-filed. so I have no explanation of why the IRS has no record of getting your return. while IRS refunds are slow the WMR site should, after 3 weeks since filing, show accepted and or processing.
you should contact TurboTax support to see what they advise.
the one thing you could do is try to e-file just the federal again. if the IRS got the original which they should have, the second submission would be rejected.
