2016 Climate Control Issues

I have a 2016 Prius IV with some very odd climate control issues. Up until about a few weeks ago the climate control worked normally. It came on immediately when starting the car to the last preset and worked as it should. Now the climate control takes about a minute to show anything on the screen and allow me to change any settings. When it turns on it seems to start at a default state with the "Auto" button on and the AC turned on. The heat also starts out at the same set temp every time it turns on no matter the last preset. While driving the heat is very hot and only cools down when stopped even when lowered to the lowest heat setting. After bringing it to the dealer to diagnose, they told me the climate control head unit would need to be replaced which I have done and I still yield the same odd issues. Has anyone else had these issues or have any insight? Any help is appreciated.

Thanks!

 

Can you expand on how the 12v battery causes this issue?

 

Can you expand on how the 12v battery causes this issue?

 

I will totally check the battery out. Thanks!

Could this lead to the issue of the heat not cooling down while driving? While driving even if I lower the temps the heat doesn't change or get cooler. Even when I turn the AC on. It only cools down when I'm stopped.