After you file

Turbo Tax only gives you an estimated date. The IRS usually pays most refunds within 21 days. But these are not normal times. This year is taking the IRS longer to send the refunds. There are millions more people filing returns to get the Stimulus payment.

See this news article on Refunds being delayed
https://www.msn.com/en-us/money/personalfinance/where-is-my-damn-irs-tax-refund-new-answers-emerge-a...

Only the IRS can tell you. If your return was Accepted then check IRS Where's my refund
https://www.irs.gov/refunds/

When will you get your refund?
https://ttlc.intuit.com/community/refund-status/help/when-will-i-get-my-irs-tax-refund/01/25589

IRS - Questions about Refunds
https://www.irs.gov/refunds/tax-season-refund-frequently-asked-questions

 

IS Turbo Tax emailing you to pay the fees?

Sounds like the IRS is taking too long to send your refund or reduced it. See What if the IRS reduces your refund or delays it.
https://ttlc.intuit.com/community/payments/help/what-if-my-federal-refund-isn-t-enough-to-cover-my-t...

Then when the IRS does send your refund they won't take the fees out again.

And, Why you got charged,
https://ttlc.intuit.com/community/charges-and-fees/help/why-was-my-bank-account-auto-debited-for-tur...

You should have received about 4 emails asking for the fees. If you don't pay they will debit your account. You had to agree to it.