Hello.
When I add the physics properties to the object, the object can no longer be moved (even if the object is baked).
How can move (resize, rotate) it?
Go to frame 1, you can move (resize, rotate) the object, but then you need to rebake the animation.
If you like the animation and just want to tweak object, you can export .mdd, delete physics from object and add MeshCache modifier with exported previously .mdd file.
If export .mdd format is not available, activate Import-Export: NewTek MDD format addon.