Doing these maneuvers properly usually requires a lot more than just straight pulls on a single stick. Rudder is huge in pattern for correcting heading and for keeping your nose up when the plane is in knife edge attitude. When doing loops the ailerons are used to make corrections for wind and such. A roll requires A LOT more than just moving the aileron stick to the side. Another thing is roll rates - to maintain constant roll rates it is necessary to vary the amount of aileron stick input accordingly.

Also when you pull into verticals (or even into a 1/2 Cuban) the offset engine thrust can/will pull your plane to the side, and as CG mentioned trimming issues will affect the attitude of your plane. It is all about making the proper corrections to keep everything smooth an in line.

Of course this stuff all comes with time and practice and it's important to know that when you see people doing these maneuvers properly that it's not that easy.

Half reverse cuban 8's are more commonly used for practicing as they get you back into straight and level flight with a lot more flying space ahead of you. This is the 'preferred' turn around maneuver when you're 'out of the box'.

As far as the order of flight - it is all in order. The pattern (in this style {nsrca} of pattern flying) consists of a center maneuver and turn around maneuvers. Center maneuvers are centered directly in front of you (and the judges) and turn around maneuvers are performed within the limitations of the 'box'. You can make your maneuvers as big or small, your radii as sharp or gradual as you like, as long as they are consistent.