Of course you can sue for the injury. I suggest you retain counsel. Attempt a settlement with his insurance prior to litigstion. Do not go without...

Yes you are entitled to all damages resulting from the atbfsult driver’s negligence.

Can I sue an insurance company or their client?

You sue the at fault driver, not the insurance company.

Yes you may sue. Check the limits for small claims court in your jurisdiction to be sure that you are in the correct court.

How is it a Hit and Run?

You need to consult with a criminal defense lawyer in your area. Sounds like you have a defense based on your narrative.

Can I sue someone who rear ended me a couple of years ago. my insurance rates are going up.

There is a 3 year statute of limitations to file in New Your for personal injury and property damage. I do not see a cause of action for an...

Can I sue even though I settled with an insurance company ?

If you signed a release with the driver's insurance, you can not sue the driver.

Can I sue even though I settled with an insurance company ?

If you signed a release with the driver's insurance, you can not sue the driver.

Hire a criminal defense lawyer in your area to dispute the citation. However, based on your narrative, it seems like you are at fault.

Do I have a case?

You definitely have a case. Retain a local personal injury lawyer. You concentrate on getting better and they will deal with the legal/insurance...