No one can see your information or your tax return so we cannot say why you were not eligible for the child tax credit or a state credit. In order to get the child tax credit, you must have a dependent child under the age of 17 who has a Social Security number, and you must have income earned from working. How old was your child? Did you enter their SSN? Did you say they lived with you for at least half the year--or if the child was a newborn did you say they lived with you for the whole year? Did you enter income earned by working?
https://ttlc.intuit.com/questions/1900923-what-is-the-child-tax-credit
Perhaps someone familiar with NC knows what the criteria for the housing credit is.
@SteamTrain ? @NCperson ?
I googled and found this:
You may be eligible for a the NC Home Advantage Tax Credit if:
There are 7 possible reasons; you aren’t getting the Child Tax credit (CTC). It’s usually #4:
To get a 'second opinion' on-line direct from IRS, try https://www.irs.gov/uac/is-my-child-a-qualifying-child-for-the-child-tax-credit
https://www.irs.gov/uac/Ten-Facts-about-the-Child-Tax-Credit
As far as the housing credit goes...from what I can see, it is not a part of your NC tax return....but it is a part of the Federal Deductions&Credits area in the "Mortgage Interest Credit Certificate" area. AND, you have to ger the MCC (Mortgage Credit Certificate) from applying to the NC Housing Finance Agency before you buy your residence.
NC Home Advantage Tax Credit | NCHFA
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....but I am not otherwise knowledgeable about this credit.