State tax filing

Remote work is taxed in the state where the work was performed and since you are a Resident of North Carolina and the work was performed there, there is no reason to file in NY or IN unless you needed to recover mistaken withholding. 

If there is only 1 line for Box 15 to 17, and it is labeled NC, then there was no withholding for NY or IN.
If there are 2 lines, do they have the same amounts as NC?  State income tax would be the amount of withholding for that line.