Hello again and thank you for that additional information, it was helpful. In terms of qualifying for unemployment benefits, you should have no problem since you were let go without cause. "Not fitting in" is not "cause" or misconduct, which are what is required to deny UI benefits entirely. Of course, you would still have to be able and available and actively seeking employment, but the reason for your termination
(nonrenewal of contract) is not disqualifying. Even if your former employer disputed your eligibility trying to say that you were nonrenewed for cause, it would be their burden of proof upon appeal to show that you intentionally, or through gross negligence, failed to perform your duties properly. That does not sound like that will be the case.
The other issue is your pension benefits. That is a little more complicated. In NJ, there is a deduction
from benefits for many pension recipients. The amount of deduction depends on the pension itself. If your employer was solely responsible for your pension contributions, then the State would deduct 100% of your weekly calculated pension benefit from your UI benefits. However, if you contributed to your pension, the deduction would only be 50%. You can see much more detail, explanation, and examples, by going to: http://lwd.dol.state.nj.us/labor
Please let me know if you have any related follow up questions. I would be glad to assist you further if I can.