Correcting a thermostat install error

I think I made a mistake when I registered one of my thermostats. I have three, two for heat and one for A/C. The one for A/C will only switch between OFF and HEAT modes. I think I need to remove it from the system and have the system find it again. It that right?

It looks like this is an ADC T2000 rather than 3000 correct?

It appears to have the correct settings right now based on what I can see in

Also in ADC it can only be changed between off and cool.

Just to be certain, it is the Thermostat labeled A/C right?

So does the thermostat itself locally not allow you to set it to cool?