Fridge not working GE MBC12

It is normal for the smaller line from the compressor (liquid line) to be hot. The larger suction line is usually cool and sometimes close to freezing. If the freezer and refrigerator sections are both warm, I would guess low Freon level. Since you can’t see any coils the condensing coils are probably just under the outside skin of the fridge. A service port can be added to the fridge and possibly recharged as it sounds like everything is working. I would manually defrost both the fridge and freezer make sure to mop up any water inside, this box(s) to test if the unit is defrosting if no change it will be time for a service call the tap is not expensive but if the charge is two low the tech may have to pull a vacuum prior to recharging. Depending on type of Freon this may cost a little over 100$ but probably less than 200 for a port and a top up charge to get it cooling again.