Your first photo is of an inside controls/air intake/air outlet for a non ducted Dometic (I think) air conditioning unit. The second photo shows a thermostat for a Fantastic Fan vent fan on top and for an air conditioning unit on the bottom ( note the snowflake and "mode" icons on the display. Are there any manufacturer names/markings on the brown inside control unit? You may have to go up on your roof, remove the bedroom air conditioner cover shroud (4 phillips head screws) and look for equipment tags with name, model, and maybe serial number (take your cellphone camera to the roof with you to easily record this data. It is an option for the non-ducted air conditioning units to have a thermostat as you have shown. You may need to have a mobile RV servicer come out and help you verify this info, and advise you. Check RVServiceReviews.com for a servicer near you, or do an internet search for one.
BTW, the Fantastic fan WAS in the roof vent cutout that thew air conditioner now occupies. That thermostat is left over from pre-air conditioner times in your RV, and shouldn't control anything.