The ticket for the license is for not being able to surrender it upon immediate request. It doesn't mean you didn't have a license, it just means the officer asked for it and you couldn't provide it at that moment. Even if you end up finding it later, the charge would still be considered valid. Some people have the misconception that this is some kind of paperwork ticket that doesn't impact insurance. You'd be correct in assuming both these tickets will be used against you for insurance purposes.
Sometimes when you get dinged with two tickets like this, you can show up for an early resolution and they'll get rid of the license charge as long as you plead guilty to the other. The issue you have is that the other charge has already been reduced. They may tell you that you've already received a break and they aren't going to negotiate any further. Basically a "take it or leave it" scenario.
At that point you can either plead guilty or you can proceed with taking both tickets to trial.
If you choose a trial, you will wait for a Notice of Trial to be sent to you via mail. At that point, you can make a disclosure request. This will contain, at minimum, the officers notes regarding the traffic stop. If you don't know how to make this request, practically every city has instructions on their website and will even supply you with a generic form to fill out.
For Hamilton, all this information including disclosure request forms can be found here.