I got a traffic ticket...?

Okay so two days ago I was pulled over for running a red light. While I was pulled over the cop told me that he smelt alcohol in my car, I was not drinking at all and there was no alcohol in my car. The cop made me get out of the car and I had to perform a sobriety test which I passed. He asked me many times if there was alcohol in the car and I told him no, then he asked about drugs and I did have a small amount of marijuana, like less than a gram, which I confessed to. Anyway he searched my car, found it. He also took my passenger out of the car and questioned him about it, but I ended up confessing and saying it was mine. Thankfully, the cop didn't arrest me, but he did give us a lecture, and made me crush up the weed on the ground. I did get a citation for running the red light and I did not have my driver's license on me. I've been on the county website for the past two days and my ticket is not showing up and I'm concerned, I planned on paying the tickets no matter what because I don't want to go to court, fight the case and somehow get in trouble for the marijuana even though it's not even mentioned in the citation. The paper he gave me doesn't have like a dollar amount to pay, it just says my offences, the car information, my information and the officer's information. I just don't want to ignore it and then get in more trouble along the way about this and this is also my first ticket, pulled over experience...