Owe State Taxes

Since you are active military, in the My Info section of the online editions or in the Personal Info section of the desktop editions you should have selected Florida as your resident state.  When asked if you lived in any other state or made money in any other state you must answer NO to each question.

Go back to that section of the program you are using and change your answers.  You do not have North Carolina income if your only income is your military pay.

My military income wasn't my only income as I did Door Dash in North Carolina. If I already claimed that i resided in North Carolina and tax returns already received, is there a way for me to dispute the money I owe to North Carolina? I find it hard I owe that amount of money when I didn't even make that much money from Door Dash. 

Yes, your post indicates you may have included too much income for NC taxation.  Below are the entries to check.

1. First, in "My Info" 
2. Verify you have indicated your military status (Active duty) and that you were stationed in NC on PCS orders
3. Verify you have indicated your resident state on 31 Dec was FL and NO, you did not live in any other state
4. Continue
5. Still in "My Info"
6. Scroll down to "Other State Income"
7. Answer "Yes" you earned income in another state
8. Select NC from the dropdown list
9. Continue
10. In "Wages & Income"
11. "Edit" the Job/W2 topic and "Edit" the Military W2
12. Verify the form entries and "Continue"
13. In the follow on page asking about "Uncommon Situations" select "Active Military Pay"
14. Continue
15. Now in the NC state interview
16. Edit the General/residency information
17. Verify/select the Non-resident status
18. Edit the "Income" section
19. When asked about allocating income only allocate to NC the non-military income earned in NC for each income source
20. Continue through the NC interview