Well, to be clear, when he runs just your license, he will see little more than the driving status and any information held by the state's department of motor vehicles. Records of warrants, criminal history, etc. are on different databases and depending on state law may NOT be readily accessible to an officer at all. For instance, in my state I cannot generally get criminal history records over the air nor are mental health records and the like readily available at all. I might get some local contact history on a city or county database.
If you are stopped, and an officer runs your license, the dispatchers will typically run the information through a couple of different databases to determine license status, the presence of any warrants, and, perhaps, any supervised release records (probation or parole) plus any officer notification hits (such as being a gang affiliate, assaultive towards cops, etc.). Depending on the agency and the practice of the dispatch center, these things may not regularly be run. In one agency where I worked, if you did not ask for such info all you got on a license check was a confirmation of the license status, name and address. If you wanted more, you had to specifically ask.