I would ask for an exchange. I have used a 10-10 for 24+ years and have never seen that problem unless I bumped the scale and cockeyed the pivot. It only needs rezero after moving to a different location/surface.
I have checked it many times with a check weight and other known weights. Once zeroed it weighs the item consistently time after time. An excellent scale with very smooth swings to settle in on the balance.
Once I thought it was haywire because it would not zero. Turned out I had removed the little plastic screw on the tenths drum weight! Put it back on the arm and zeroed perfectly.
Yours sounds like a manufacturing defect or shipment damage (perhaps the pivot bearings?).