Your employer may have made a mistake. If you lived and worked in New Jersey, I don’t understand why you have a New York line on your W-2.
Are there NY wages in Box 16? If there are, then your employer should have withheld NY tax and not NJ tax because NJ will give you credit for tax paid to NY, assuming you had NY income.
However, as a fully remote NJ employee, your company should not report any NY wages or withhold any state tax unless you were employed “within and without” NY state, meaning you were physically present in NY for at least one work day.
Read the discussion by @kristinelbly in "I work for a NY company, remotely from NC. I spent 1 day in 2017 on site, but my W-2 has full salary..."
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