RV refrigerators take a while to start cooling down. When starting from warm, we always put a bowl of ice in each compartment (refrigerator and freezer) to help things along.
That being said, it's not a good sign that the refrigerator light is not coming on, although since you have a light on the control panel, it would seem that you have 12 volt
DC to the unit. Check the refer bulb; it could be burned out or loose.
If there is still no cooling, I would check the 110 volt AC circuit breakers at the converter panel. One may have tripped, causing this problem. While in there, I would also check all of the 12 volt
DC automotive fuses.
If all of this fails start checking the wiring to the refrigerator. Some Airstream refrigerators have an actual household plug that plugs into an outlet in the outside refrigerator compartment. Check to make sure that it is plugged in. Also check the outlet to see if it is hot.
Try plugging the refrigerator in to an extension cord which is plugged into you house power.
Good luck and advise us of your progress.