Mine doesn't spit out black soot, but the steaming exhaust is normal. Mine lasts for ages, especially when the temp is low and/or the air quite moist.
Have you noticed your bonnet steaming when it's raining or the car is wet yet ? That's a bit weird. But totally normal because of the complete lack of heat shielding on the underside of the bonnet. Strangely, it's one of the only things that makes me feel self-conscious in my two seat convertible BMW :lol: