Since you were over 18 when your mother became a citizen you must apply separately for you own naturalization -- Form N-400.. You also simultaneously apply to replace your permanent resident card -- Form I-90.
Lynne R. Feldman, Attorney at Law
Concentrating in Immigration Law
2221 Camino Del Rio South, Suite 201
San Diego, CA 92108 | (619) 299-9600
Fax: (619) 923-3277
Former Adjunct Professor -- Immigration law
University of Illinois College of Law
Just because your actual permanent residence card expired it does not follow that you are not a lawful permanent resident. If you are in the United States, file an I-90 application to renew your green card. Since you have been a green card holder for 10 years, you are likely eligible to file for citizenship on your own by filing an N-400. My colleague is right in stating that you would not be able to automatically acquire United States citizenship based on your age. If you have any concerns or questions, it would be good to consult with an immigration attorney.
I agree with my colleagues and add that you and your father must fill out and submit separate N-400 forms for citizenship. Also just so you know, from the information you've given it appears that your father is eligible in two different ways to apply for citizenship: 1) as someone who has been married to a US citizen for at least 3 years, or 2) an LPR whom it appears has resided in America for more than 5 years (you didn't state whether your father has been here continuously for five years with LPR status, but I'm assuming that from the wording of your question).