Retirement tax questions

No  you are not correct.

NJ says:

 

Section 401(k) Plans
If you made contributions:
1. On or after January 1, 1984, your contributions to your 401(k) Plan were not included as income when they were made, unless the contributions exceeded the federal elective deferral limit. As a result, you must report all distributions on your New Jersey Income Tax return because they are fully taxable;

 

---

Even though reported on Line 5, a 401k is not a pension plan.

most companies no longer offer pensions.