Answer:
What dress does everyone have, but no one wears?
My second is performed by my first, and it is thought a thief by the marks of my whole might be caught.
Always old, sometimes new. Never sad, sometimes blue. Never empty, sometimes full. Never pushes, always pulls.
What moves without seeing and cries without eyes?
People like this usually live in rural areas, unless they are lucky enough to strike oil and move to Beverly Hills.
People take me on walks and I run and have fun. What am I?