I'm sorry to hear of the situation.
Yes, of course, you do qualify for unemployment insurance benefits. The fact that you were only employed part time will not prevent you from getting the benefit. The benefit that you receive will be based on your income during the 12 to 15 month period prior to be letting go.
All you need do is apply for the benefit from EDD. You may file your application for unemployment benefits today, and right from your computer, by going to this site:
You may reply back to me using the Reply to Expert
link if you have additional questions; and if you do, I ask that you please keep in mind that I do not know what you may already know or with what you need help, unless you tell me.
Kindly take a moment to rate my service to you based on the understanding of the law I provided. Please understand that I have no control over the how the law impacts your particular situation, and I trust you agree that it would be unfair for me to be punished by a (negative rating) ----the first 2 stars/faces----for having been honest with you about the law.
I wish you the best in 2012,