Would I be notified if something was wrong with my return?

[xmasbaby0]

Once your return has been accepted by the IRS, only the IRS has any control.  TurboTax does not receive any updates from the IRS.

To track your Federal refund:   

https://www.irs.gov/refunds

To track your state refund:    

https://ttlc.intuit.com/questions/1899433

On the IRS site you are also offered the use of an app called IRS2Go

TurboTax does not receive feedback from the IRS regarding money that was offset from your refund.  If you owed back taxes, child support, student loan debt, etc. you will receive a letter of explanation from the IRS in several weeks.  The WMR site will contain a message regarding your offset.

https://www.irs.gov/uac/tax-refund-offsets-pay-unpaid-debts