Statement I: Magnetic moment of an atom is due to both,the orbital motion and spin motion of every electron.

Statement II: A charged particle produces a magnetic field.

In an atom, electrons revolve around the nucleus and as such the circular orbits of electrons may be considered as the small current loops. In addition to orbital motion, an electron has got spin motion also. So the total magnetic moment of electron is the vector sum of its magnetic moments due to orbital and spin motion. Charge particles at rest do not produce magnetic field.