It was re-made about ten years ago using the Tucano as the model. It is called 'The Spin Explained' and is better than spinning modern aircraft. Watch it if you get a chance.
With regards to use of rudder and aileron in recovery, it depends on the type of aircraft. Those with a T-tail, simultaneous application is oft quoted. This is because there is little blanking effect of the rudder from a down deflected elevator and there is no requirement to wait for the rudder to take effect first.
However, the real process is a little more complex than that. The full spin is defined as being the state where the gyroscopic forces have balanced the aerodynamic forces. Any control input should be allowed to stabilze before another is made, so waiting to apply elevator after the rudder application is wise.