Good morning my name is ***** ***** in the UK and a qualified refrigeration engineer.
If the compressor is running but you have no cooling then it will be one of two things -
a. There is no refrigerant in the system ie it has leaked out.
b. The compressor is faulty.
Since this is a new appliance I would get it replaced or repaired by the manufacturer.
When in operation the cycling refrigerant is not only used to cool down your food but also to keep the compressor cold. If it loses its refrigerant then it can't cool the compressor. I would suggest that the heat you feel is from the compressor generating heat through lack of cooling.
I'm not sure what refrigerant is in use as its not listed in the manual but it will be either R134a or R600a. This should be listed on the rating label.