I sent in my tax returns a few weeks ago, (beginning of February) ) haven't heard back on if they were received.

First check your e-file status online here using only your social security number and zip code.

Also, when you sign in to TurboTax, do you see the orange Take me to my return button? If so, most likely you have not filed yet. After your return has been filed, when you login, your e-file status should be the first thing you see.

You may also go to the IRS site Where's My Refund to check the status of your refund. Or, if you're using a mobile device, you can download the IRS2Go app to check your refund status.

To track your state refund, you may reference this TurboTax FAQ.