My outside AC unit fan works when the heating turn on. Pretty sure it is not a heat pump. Is it installed incorrectly?

"Pretty sure it is not a heat pump". So what do you have?

I think it is a standard AC unit - Carrier 38EZG030 unit

It's not a heat pump. Does the compressor come on too?

Do not know. How could I check it? Is not it wrong that the fan comes on during heating if it is not a heat pump?

If you Google your model#, it says it is an "air conditioner / heat pump". So yes, it should be running when calling for heat.

Do not know. How could I check it? Is not it wrong that the fan comes on during heating if it is not a heat pump?

From what I have found it's just an AC unit. So no it shouldn't be running. Should be able to hear the compressor running. To make sure it's not a heat pump look inside the unit. If it has a reversing valve then it's a heat pump.

That unit is straight cooling. For the time being & until the weather is a bit more comfortable to work outdoors, simply turn off the power to the outdoor unit. You can do so either at the breaker panel or by pulling the disconnect which should be on the wall next to the unit.