The next time the brakes are stuck engaged, try opening a bleeder in one of the calipers to see if the pressure releases or not. If the pressure releases I would suspect a faulty master cylinder. If only one caliper is stuck, it could be a collapsed brake hose, stuck slider pins or a stuck caliper piston.
Brakes
Weight transfer. When a car brakes, its weight moves forward and causes the front brakes to do the majority of the work in stopping the car.
warped rotors
I JUST RPLACED THE AXLE HALF SHAFT. YES IT IS ALWAYS ENGAGED. WHATS UP WITH THAT??
Front pads (disc brakes) Rear shoes (drum brakes)
Contaminated fluid? Frozen calipers?
have you checked your brake fluid??
Bad fluid in master cylinder,flush system,bleed brakes
Have your brakes checked, rust or wear on brakes can cause grinding when turning.
You may need to check your brakes or the rollers on your brakes
Front Wheel Drive, could be bad CV Joints, Could be Control arm Bushings...
Your rear axle is probably out. This would explain it moving in 4x4 because its utilizing the front axle.