Is the coolant level full? Did the temp gauge do the same thing with the old thermostat?
As far as the heat in the car, there is only one heater core that provides heat for both sides of the car. If one side is getting heat, then the other should unless there is a vacuum leak to one of the vent doors that directs heat / air flow to the different vents. Therefore, it is my opinion that since you get heat on one side, there must be a vacuum leak to one of the vent doors. Check under the dash for leaks or even linkage that actuate the doors that may have come disconnected. Also, with the engine running, you may get lucky and hear a hissing sound from where the leak is coming from.
Let me know what you find.
Joe
Monday, January 13th, 2020 AT 6:47 PM
(Merged)