You are not legally bound to tell them anything. If he asks, you can do what you like, but my response would be something to the effect of I don't consent to any search of my vehicle. Even if you're legally transporting a firearm, it is not required to notify. If and only if you have a CPL AND are carrying a loaded "concealed" firearm in the car, are you required to notify.
Your second question seems to be a gray area, but I think it's generally accepted that they are not supposed to do that, absent RAS. LEIN access w/o RAS is illegal, I'm just not sure if LEIN is where they go for running numbers.