Hi Angie,
Let's start with what the engine temperature is actually getting to when this begins to happen. The best way to do that is use an infrared temperature sensor. Here is a resource to help with this:
https://www.2carpros.com/articles/how-to-use-an-infrared-temperature-meter
Measure the temperature around the engine block and most importantly the radiator and coolant hoses.
Once we confirm the engine is at proper operating temp, then we need to look at what the control module thinks the engine temperature is. This would be the engine coolant temperature sensor. We need to scan for any codes and then monitor what the PCM is seeing from the sensor. If the sensor is telling the PCM that the temperature is high then it is going to peg the gauge and chime to get your attention. I included the process of replacing the sensor if this turns out to be inaccurate.
Here is a video on how to test this if you don't have a scan tool:
https://youtu.be/ZX3lbi9yGuE
Once this is done let me know the results and we can go from there. I would suggest tackling this issue prior to the no heat issue and see if they are both resolved after. The reason is, if you are not getting any heat that could be a blend door issue in your HVAC system or a blockage in the heater core circuit.
Let me know and we can go from there.
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Wednesday, April 24th, 2019 AT 6:05 PM