The digital/electronic thermostats have a reset procedure, the analog/slide models do not as far as I know. Yours is different from what I had on our old trailer. You could carefully remove the cover and see if there's anything underneath. There's no reset on the actual roof top unit that I am aware of.
There are some things you can test to see if the thermostat is "talking" to the air conditioner properly but perhaps someone smarter than me can chime in.
I do know that for the air conditioner to run properly the fan should be set to Auto.
Do you hear the compressor kicking in?