As you can see when I try to move the object it goes far far away from the original location, and I can’t move the object less than that amount of longitude, so I can’t model the object as good as I could do without this problem.
As this is a Blender issue you should try Googling the issue to search in Blender forums.
How are you trying to move it, by dragging the arrows or the boxes between the arrows, or by changing the number values of it’s position on the xyz grid?
Are you sure you aren’t limited by your camera position? If you zoom back and rotate the camera can you move the selected items correctly?