If you are going to driver the car for the week like that and take it back to your mechanic over the weekend it will not end well.Utter BS that the gauge has to calibrate its self, I work on big industrial engines and if I change the engine control system I sometimes need to enter the curve of the water temp and oil pressure switch. We are talking of a 2001 Toyota here that has hardly any electronics in it.
You said your mechanic worked on the cooling system why and what did he do?
Make sure that the fan works, start you car and let it idle, watch the temp gauge, fan should come on within 10min, if it reaches 3/4 on the gauge and the fan has not switch on switch off the motor. Something wrong with the fan switch, slave relay (if fitted) or fan. Go and feel the top radiator hose and then go feel the bottom radiator hose. If its hot at the top and cold at the bottom then there is no water circulation, this could be a faulty thermostat, radiator, water pump or radiator cap. On a correctly working cooling system the temperature difference between the top and bottom radiator hose is no more then 2 to 3 deg.