1. In the boot there is an air purifier. What is this for?
Rear Air Conditioner Unit
2. When you put the drivers seat back, the head-rest goes up. The dealer says this is a feature, is this true?
I assume you mean when you tilt seat back?? in that case yes or at least mine did it :)
3. There is a cool-box in the rear, behind the rear armrest and between the boot. How do you turn the cool air on to this?
switch on rear air con to auto and drop temperature if I remember correctly.
4. Although I have set my memory seat, each time I start the car the steering wheel does not return to the correct position for me. The dealer is unhelpful with this issue. Any advice?
mmmm?? it should return to whatever position you stored TBH.
5. In the sat-nav options, there is a button called "motor-way mode". What is this for?
If it is same as current nav then this will display a window to the right of map showing motorway junctions and service stations
6. It has the smart-key system. Does anyone know if this will allow the keys to tell the car who the driver is and re-arrange the seats and air temp? If this model will do it, how can it be done?
I think so - you store all your settings as known user via the touchscreen and then you can set t key. TBH I think Lexus need to do this or it is buried in the manual.
Really looking forward to any answers and any help and advice.