Driving in Qatar is like going into sucide. To your quiries, chances to getting involved in an accident especially being hit from the back is in the ratio of 1:2. Yes Qatar is full of Mad drivers and law enforcement is lacking. If you could, drive a battle tank or a bulldozer on the road to be safe anyway. At best, you could try to be very defensive as possible on the road. Just Forget the honking, lightflashing and tailgating. If a crazy man jumps into the sea, why should you follow suit?