How much coolant did they add? Any white smoke from the exhaust? The description sounds a lot like a bad head gasket causing a misfire. The strange steering wheel feel could be a bad water pump that is dumping coolant onto it. Which engine do you have?
First thing I would do is check the coolant level, If they filled and purged it then and it is low again it has a leak somewhere, if it is still full then you have a different issue but I'm thinking it isn't. If it is low you can add a 50/50 mix of coolant and water to bring the level back up. Then start the car with the cap off and watch for bubbles. They should stop. Shut the engine off, top up if needed. Look at the end of the engine where the belt is, is it wet or sticky like something sprayed on it? If so it is likely the water pump has failed. Or there is a bad hose or fitting.
Could you take a picture or video of that area with the engine running and post it here? That may help to show if it's a leak.
Thursday, November 14th, 2019 AT 6:39 PM