No additional surcharge from Albany for this.

Sounds like 2 points but need to see the ticket to confirm. An attorney can go to court instead of you to fight this ticket.

Can I get tickets reduced?

Depends on what kind of tickets. Reach out to a traffic ticket attorney with the details.

I don't think you need to file the report if you were not operating the vehicle at the time of the accident.

If you get arrested for driving on suspended license auo 3rd is it a possibility that I will face jail time.

Not worried about jail so much but you are facing a boatload of problems if convicted and jail is probably a better alternative. Looking into...

How do I go about having 4 tickets from 4 years ago that never got dealt with when I only had a permit?

You can use this form to reopen a default conviction though the chances of success are small. https://dmv.ny.gov/forms/aa3.3.pdf

I received the same violation on both my NY license and NJ license. I was pulled over in NY and paid the surcharge accordingly.?

If your point total in NJ triggers a driver assessment fee then you will have to pay. However NJ only adds 2 points for out of state violations so...

Can I be issued a ticket if some was driving my car with suspended registration due to insurance laps ?

How can you get a ticket if you were not driving the car at the time. This needs to fought vigorously.

Theoretically yes. An attorney can go to court instead of you thereby ensuring that you can't legally be issued a new ticket.

I got a criminal ticket for driving my work vehicle with expired inspection sticker the vehicle belongs to the company

Show your ticket to a local traffic ticket attorney. Something is not right. An expired inspection is not criminal.