FRIDGE COILS or door walls SEEM VERY HOT:
The condenser coils do get hot. They can even be to hot to comfortably touch and this is normal.
The refrigerator should not run constantly but shut off with each defrost cycle.
Running constantly and never cycling off can indicate a cooling problem.
One thing to try is to wait till it has been running a few minutes then open the door and turn your cycling thermostat towards the off position. It should cycle off before getting to the off position on the dial.
If it does not cycle off then it's not getting cold enough to satisfy the thermostat. This is likely the reason the refrigerator runs all the time.
A thermometer in a glass of water can be used to check the temperatures in the refrigerator section.
You can check that all fans are running.
the reason the outer side of the door seal area is getting hot is the compressor is over heating, probably the condenser fan motor to your compressor is bad.
It should be a little warm but not hot. they don't use heaters anymore ( some older models still use heaters) around the doors, instead they use the condenser coils to remove condensation and moister, you might want to check your condenser coils on the bottom or back of fridge to see if they need cleaning
If the condenser coils/condenser fan are all plugged up they need cleaning and/or the condenser may fail or has failed..
The ones that use an electric heater will have an "energy saver" switch that will turn it off.: God is the reason I give you free advice so God is good!