Blazer Lighters Is This A Electrical Problem In My Blazer Or What?

Is This a electrical problem in my blazer or what? - blazer lighters

I have a Chevy Blazer 96, has been used for some time with the cigerete light when it blows all the fuses fought, so I listened with cigarette lighter, and now the truck his father gave me, and I am a radar detector siruis and radio, the connected to the other 2 outputs are electrical things, like a cigarette lighter are not, and when I turned the truck, they radio and radar detectors are in the room ... Why not close when the truck is turned off?