Internal Associate Theft

My question involves criminal law for the state of: California

I work at Kmart and we have this rewards system that give you 10 points for every dollar you have spent there. Recently I got called in by Loss Prevention due to the fact that I was using other customers rewards cards in order to gain the monetary value. It was somewhere around 450$ worth of points, the police were not involved but they did make me sign a civil demand paper stating that i would have to pay back all the losses I caused which is fine with me. My only concern is if I do get fired and apply for another job will this affect me? Will this be set on my record?

As in, will K-Mart keep a record of your criminal conduct? Yes. As in, might they report a written confession of theft by an adult employee to a company that tracks such matters for retail employers? Yes, that could happen.

But if the police and courts are not involved, there is no criminal record.