Coolant Leaking problems of the 2016 Audi A6

Ok purchased the car October 2019, immediately noticed a burning smell, in the car. Took out to Audi multiple times ask if there was a leak, before the warranty ran out. They said no, now a year later my check engine light has come on. One diagnostic done at jiffy lube read a code that says it is the computer auxiliary output. Took the car to Audi to do a second diagnostic, they said its the thermostat, and coolant pump. My car is not ever heating and the heat and air work fine. How is it now that the car is not under warranty they notice the leak in the coolant pump, when I complained about the smell of burning water when I first purchased the car. There are no indications of a leak on my driveway. The dealership has quoted me 1683. 00 though there is a recall on the same parts. A year ago when I purchased the car there were faulty issues with the computer. Audi did replace this under warranty, but a month ago the computer would not come on several different times. Called the dealership told them it was on and off they said to bring in if it continues. Soon after the check engine light comes on, and now all of a sudden its a leak in the coolant pump allegedly. I repeatedly asked them if the CA had a leak when I first bought it only because the engine was giving off the burnt smell. They waited until the car was out of warranty to agree with me. There is a recall to fix the coolant pumps on the Audi but they are wanting to charge me to repair mine. Right now the vehicle shut off on me tonight and the epc light is on. Car will not start, nor would the engine receive the gas when trying to accelerate. Only been driving the vehicle for a year, I should not have major issues with it as of now.