I have found if I rotate tyres on my 2011 hatchback diagonally, because of the wear patterns on them when their rotational directions change, the "high" leading edge of the wear patterns contacting the road first makes considerably more road noise.
So, I only change them front to back.
It could be the hatchbacks are more prone to road noise than a sedan, because there is no extra sound barrier between the rear wheel inner arch and rear axle/ suspension connection points, and the car interior. However, I'm sure you would notice the increased road noise, even with a sedan.
I never include the spare in the rotations. My car is still on its first set of tyres, so currently the spare is new. But in coming years, it may age too much to be safe. When I feel it is appropriate (maybe about 6- 8 years on) I will select the best of a tyre set coming off the car, and use it as the spare.
Tyres do deteriorate with age, you should always check the manufacture date when buying new tyres, to ensure you are not being sold old stock.:thumbsup: