If there is no cooling at all on the fridge section but the freezer works then it is confirmed that the compressor and gas pressure is OK. But if the freezer also gets warmer it can be failure of the auto defrost making the vents choked. Now shut off the fridge and leave it powered off while you clean and check the evaporator for frost. If frost is seen it is a good indication as the compressor is working with sufficient gas within.
Now after about 6 hours plug in the fridge to start. Observe cooling to happen in about one hour and ice to from under three hours.
Earlier make sure that the thermostat was set to normal mode for freezer and fridge.
However if ice forms in the freezer then observe the fridge for about 24 hours for cooling to continue and the fridge to cut off . If not the auto defrost timer, or the thermostat must be checked. Frost formation without defrosting could block the air flow and so shut the air passage to the fridge. Also the blower fan must work and if this is not working then the fan can be faulty. Also a fault on the control unit is a suspect to non functioning of any one of these components.
If defrost timer works but frost keeps forming check while the compressor shuts if the heaters are working, check continuity of the heaters.
So try this test using a multi-meter on the defrost timer and the thermostat and make your observations so that we come to the solution.
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