Can I sue the other parties insurance if they will not accept liability for the accident?

Yes. Always best to try to use an insurance company. However, depending upon the extent of damage and whether you have collision coverage small...

Well, hopefully you have not prejudiced your case beyond which qualified counsel would want to represent you. Good luck.

How do we settle a dispute where one person caused an accident but the other person caused more damage after the initial hit?

You resolve a dispute through negotiation. Too bad too late for insurance companies.

I fell at a local landfill and injured myself?

If injured get appropriate medical attention. This question is better directed to a medical professional.

Yes, but if successful collecting may prove difficult.

Can I get money for my wife's car accident lawsuit?

Yes, maybe. Speak with local/qualified counsel.

Yes. Contact local/qualified counsel asap. Filing and notice requirements are short and exacting. Good luck.

Can i be civilly sued after a car accident when the other insurance company took on fault?

Yes, you can be sued. Successfully is another matter.

Sure you may very well be liable. Report this to your homeowners carrier.

Suggest you contact your former workers compensation attorney.