If you have trouble breathing from your nose you most likely have a deviated septum from your nasal trauma. This can be confirmed on clinical examination but a CT scan would be helpful too.
Since your injuries are due to trauma and they are causing functional problems, your insurance would most likely cover the cost of treatment. This can be confirmed prior to surgery.
The treatment would involve removing the deviated part of your septum and straightening your nose. The surgery is done under general anaesthesia, so you won't feel any pain during the operation. Your nasal bones may need to be re-broken in order to straighten them.
Hope this helps.