Oleg, when you first stop a vehicle, you run what we called a 10-28, 10-29. The uses the vehicle license plate and tells the officer: The owner of the car, the address the car is registered to, if there are any liens on the car and who has the lien (28). The 29 checks to see if the car is reported as stolen.
When you have the DL, you run a 10-27, 10-29. The 27 gives you the same information that is on the DL so you can verify that the DL hasn't been altered, or faked, gives you a history of moving violations and accidents, and tells you if the DL holder has a 10-44 (Concealed Handgun License). The 10-29 runs the DL info through TCIC/NCIC and checks to see if the person is wanted.
If you have reason to believe that you are dealing with a wanted person or a felon, then you can ask for a 10-43 (Computerized Criminal History or CCH). A CCH uses the name and date of birth and will tell you what crimes the subject has been charged with, what crimes he or she has been convicted of, and the dispostions of the sentencing.
In Texas, the Concealed Handgun License simply tells us if it's valid, and what class of handgun it's valid for. We isue CHL's either for Revolvers (may carry revolver only) or Semi-Autos (may carry semi-auto or revolver).
Hope that helps.
LawDog