Refrigerator not cooling - Westinghouse WRS3R3EW 33" 22.6 Cu. Ft. Side-by-Side Refrigerator w/ Plastic Freezer Basket, 4-Button...

If there is no cooling at all , before we go further we must confirm the first step of confirming the compressor and gas pressure. So shut off the fridge and leave it 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. If there is no ice formation we have a big issue as the compressor and gas must be checked out. If compressor is running check the pressure, get help to test gas pressure. If not you will need to fill up ,If gas pressure is good the possibility of the compressor being inefficient is high. In such a case you must take consensus to estimate and decide, if RPM of motor is low check capacitor.
However if Ice forms 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.

The ventilation fan that circulates the COLD air from the evaporator coils could get clogged with frost and so could be jammed. Also the wires to the fan can be worn out due to the frost. If so check if the defrost timer works to switch the heater to remove the frost. Also the check if the compressor is shut down by the timer /thermostat . If the heaters are not working, check continuity of the heaters.
So attempt to test using a multi-meter / clamp tester from the outside and make your observations so that we come to the solution.

Please check this link for tips to work.

http://www.espares.co.uk/advice/fridges-and-freezers/a/2