My question involves unemployment benefits for the state of: california

i worked for a security company in CA. the employer stopped giving me hours when i said i will be attending school in the evening from 530 till 9 30. while my work hours were 8 to 4. i appealed the decision where they stated i quit because i still had the company ID and the uniform. and the judge ruled in my favor. so i am eligible for unemployment. but the process took 6 months. i fell behind on my payments and it affected my credit history. what are the possibilities of me suing my employer? i never signed any paper that said i am quitting or i am leaving my job. and isnt that illegal to lie on an unemployment claim such as this one where they said i quit when i did not.