You may have already blown the Statute of limitations but you may ask for a waiver due to your mistake in filing with another state agency. If for some miracle they allow you to present your claim, hire a PI lawyer in LA and stop pushing your luck. Best of luck.
First , if you are hurt, get treated. Follow your doctor's advise. After you are done treated, get a free consultation with a PI lawyer. Make a copy of your car insurance and gather your medical records and police report. Take these documents to your lawyer right away and ask for his advice. Do not speak with the other party's insurance until you get your free legal consultation. Also, you can visit my website and read my guides regarding what to do in case of ab accident. Best of luck.
You are fighting a governmental entity. They have a lot of immunities. The hurdle for negligence is higher than ordinary negligence. Without knowing your issues I am unable to give you more advice. Also, ytou are under representation. You need to ask these questions to your lawyer. Ethical rules prevent me from second guessing your lawyer. Best of luck.