State tax filing

It depends.

As this is a public forum, we cannot see your tax return.

However, if your husband had taxes withheld,  you should file a tax return if you are due a refund. 

The threshold for filing a tax return in New Jersey is $20,000 if you are filing jointly.  If your income is below this amount, it may explain why you are being told you don't need to file.

See the chart below for New Jersey filing requirements.