The older mules used a solid state relay with a signal from the ignition box to control the relay which controls the fuel pump.
The fuel pump is external in the right rear of the vehicle with the bed up it's easy to access it, also the fuel filter is a simple inline filter right in front of the pump.
I found a thread on a utv site which detailed the issue and trouble shooting and how to bypass the relay if desired.
An easy way to trouble shoot it is to splice in a small light in parallel with the fuel pump if the light goes out when it quits no power to the pump.