1. According to Rutherford, the electrons revolve around the nucleus at such a speed that the centrifugal force of their motion just balance the force of attraction due to protons and thus they does not fall in the nucleus.
2. Also,an electron does not lose energy when revolving in a stationary orbit around nucleus because Maxwell's electromagnetism does not apply to the stationary orbits. It is because in the stationary orbits angular momentum of an electron is quantized.