To check the status of an e-filed return, open up your desktop product or log into your TurboTax Online Account. You can find your status within the TurboTax product.
If accepted by the state use this TurboTax support FAQ to check the state tax refund status - https://ttlc.intuit.com/questions/1899433-how-do-i-track-my-state-refund
Only the IRS determines when and if a stimulus payment is distributed.
Go to this IRS website for stimulus payment information FAQ's - https://www.irs.gov/coronavirus/economic-impact-payment-information-center
Use this IRS website for stimulus payment status - https://www.irs.gov/coronavirus/get-my-payment
Use this IRS website for get my payment FAQ's - https://www.irs.gov/coronavirus/get-my-payment-frequently-asked-questions