The statute of limitations only applies if you are going to file a law suit. For the most part, personal injury claims have a one to two years statute depending on your state. Since, I do not practice in your state, please contact an attorney. Again, service is a term that only applies when you are in litigation.
The California two year statute of limitation applies to personal injury lawsuits.
Because this matter is so important you should really get a lawyer.
You might find my Legal Guide helpful "How to Choose A Lawyer For You"
You might find my Legal Guide helpful " What Do I Tell My Lawyer"
No one can know what the record is in the case because online we cannot see your documents. You need a lawyer. Check with a lawyer in your locale to discuss more of the details.
Good luck to you.
NOTE: This answer is made available by the lawyer for educational purposes only. By using or participating in this site you understand that there is no attorney client privilege between you and the attorney responding. This site should not be used as a substitute for competent legal advice from a licensed professional attorney with whom you have established an attorney client relationship and all the privileges that relationship provides. The law changes frequently and varies from jurisdiction to jurisdiction. The information and materials provided are general in nature, and may not apply to a specific factual or legal circumstance described in the question.
Mr. Baez and Mr. Brinkmeier are correct. You may also find the following legal guide a useful reference:
Sign up to receive a 3-part series of useful information and advice about personal injury law.