I can think of some scenarios of why the NJ tax is missing in your payroll service, @audmemd-comcast-. Let me elaborate them further to get you going.
First, make sure the NJ tax is properly set up in your employee's profile. To proceed, follow the steps below:
Go to the Payroll menu from the left panel and select Employees.
Choose your employee from the list.
In the Employment details section, select the work location where you’re required to pay State Unemployment Insurance.
In the Local Taxes or Other taxes section, choose the applicable taxes and enter the rates.
If you or your employee are exempt from any taxes, select the applicable tax from the Tax Exemptions section.
Lastly, click Done.
If you're using QBO Core or other full-service payrolls, I suggest contacting our support team. They are the ones who will check your payroll settings to help you ensure you can choose NJ tax. You can contact them from Monday through Friday, 6:00 AM to 6:00 PM PT. Please browse this link for detailed steps: QuickBooks Payroll Support.