I paid my prius off early... so early my state hadn't even printed my title, nor sent it to Toyota Financial.
This led to confusion and delay.
I filed a complaint with the Consumer Finance Protection Bureau. The law requires bankers to respond within 14? days. On the 14th day I got a hugely apologetic letter from Toyota. The day after, they overnight-Fedexed me my paper title, and a $100 visa gift card for my trouble.
The CFPB requires you to work in good faith with your lender first. So, send them a letter that reads "give me what is mine", then after a delay of your choosing, sic the CFPB on them.
Any state can reprint a duplicate title. Maybe this will get VW to send the release in and apply for a dup title in your name only. Number of ways out of this mess, but the CFPB will help convince them to find one.
"Some" states, IDK about NJ, will send the title with a lien to the car registrant. It will be aggressively marked about being invalid without a lien release. Doesn't sound like your scene.