I can't see the LCA/BJ causing issue with brake drag.
Typically, the pads do contact the rotors. Some brake pads start to 'squeak' as a course of normal wear and tear to let you know that pad material is low and will require replacement soon.
Although it is much more rare on the front than the back, there is a possibility that the brake hoses have collapsed, but you would likely notice severely hampered braking. It would be a good time to upgrade to stainless steel brake hoses.