Yes---you need to have a discussion with the employer to see if that was correct. They barely withheld anything for federal tax. And sounds like nothing for state tax--unless you are in a state that does not have a state income tax.
Why did they not withhold tax? Did you not get pay stubs during the year? Did you not notice that no tax was being withheld? (I just had a similar discussion with a relative last night who just gets his checks direct deposited and did not notice all year that they were withholding only a little and got to break some bad news to him)...
You need to correct your W-4 with them to have more withheld.
https://ttlc.intuit.com/community/tax-topics/help/what-to-know-about-the-new-2020-irs-form-w-4-emplo...
https://www.irs.gov/pub/irs-pdf/fw4.pdf
https://www.irs.gov/individuals/tax-withholding-estimator
And now ----sadly---you owe a lot ---you can apply for a payment plan:
https://www.irs.gov/payments/online-payment-agreement-application
**Disclaimer: Every effort has been made to offer the most correct information possible. The poster disclaims any legal responsibility for the accuracy of the information that is contained in this post.**
