I am a little surprised about the height of your 4/4, Vassilis. I have exactly these four-seater leaf springs we're talking about. If you zoom in on my avatar, you can still see the car in high resolution. I have to check again if the garage has added extra blocks to get the car lower, but I'm pretty sure that this is not the case.
Others may know better but I can not imagine that the weight of the additional spare wheel has so much influence on the height.