There are several possibilities the may be causing the problem.
Refrigerator's need to be on their on power circuit, if there is something else on the same circuit the fridge motor will not have enough power to run and may burn out. Or the outlet the fridge is plugged into may be bad. If you have a heavy duty extension cord you can plug the fridge into a different circuit, do not use a light extension cord it will not be able to handle the amount of power the fridge will draw and may catch fire.
If the fridge was laid on its back or side when it was moved the compressor may have been damaged.
The fridge is old the circuit board may have gone out, or the hard start capacitor may be bad. If the hard start capacitor is bad you should hear a clicking noise coming from the bottom of the fridge at the back.
Hope this helps