I was hit in the back, however my license was suspended and the car didn't have insurance.
My lower back was injured can I file a claim and what kind of claim?
You should not have been driving without insurance. You may still be able to file a claim for your vehicle damages and your injuries, but it depends on your state. California, for example, will not allow you to make the claim if you do not have insurance.
Check with a local attorney below (free) to see if they can help you with the proper claim.