What happens when the statute of limitations expires?

I was with my bro, And he stole something. A store worker grabbed me, And I pushed him. I told the store worker I was a minor when I wasn't, And the police came and arrested me and my bro. I was charged with assault in the third degree, And receiving stolen property. That was in 08 though. I'm trying to get into the military, But I'm Afraid that's gonna come up when I do my live scan. What should I do?