Yes, the steering wheel and pedals stay on.

Yes, no problem. Takes up the same amount of space. With or without Weel.
The pedals can also stay on. So you're ready to go in 3 minutes. The seat is stable and comfortable. The quality is good.
Can only recommend it after about 30 hours of use.
Have fun.
R. G.

It might depends on the steering wheel size but generally, yes