A NJ careless driving ticket should not show up on a NY Class D driving record.

Will an unpaid parking ticket show up later on my license,the ticket only has my temp plates and there is no display of my vin#?

If it is a parking ticket I would just pay it and not run the risk of it catching up to me with late fees and/or suspended registration.

You were stopped on Thursday and issued a ticket on Sunday?

Does this warrant a case?

I have recategorized the practice area to "Car Accidents" where personal injury attorneys can view and answer your question.

Your question is unclear and most judges do not care so much about call logs because you could have been doing other things on your phone or using...

I received a violation for disobeying a traffic device.

There is usually more than one sign. Go back to the relevant street and check. If no other signs take pictures.

Did I answer the plea correctly? Am I going to jail with this plea acceptance? Should I rescind?

Very weak deal but you're not going to jail.

I received a ticket by a the traffic department for expired inspection, but did in fact have a valid inspection,

Definitely. You can dispute the ticket online http://www1.nyc.gov/site/finance/vehicles/dispute-a-ticket.page

What happens if you fail to pay a traffic ticket fine on time?

Depends on whether it is a camera ticket or a police issued ticket. Also depends on the court. You may be suspended. You can check the status of...

You have absolutely nothing to worry about.