Rutherford proposed that most of the mass of an atom is concentrated in a small, dense nucleus at the centre, which contains positively charged protons. Electrons, carrying negative charge, revolve around the nucleus in orbits.
In the Bohr model, electrons do not move in random orbits but have specific energy levels or shells around the nucleus. The electrons are not in a "spherical cloud" but are found in discrete orbits at fixed distances from the nucleus. Rutherford's model, on the other hand, did not specify the fixed orbits of electrons and was later refined by Bohr to explain the stability of atoms.
Hence, statement I is true but statement II is false.