Can you get your hands on a Fuel Pressure tester? Connect it to the Fuel Rail. Turn your Jeep to ON - you should hear the fuel pump prime. Pressure on the rail should be around 40psi (almost certain) The pressure should maintain that for a little while.
If the pressure drops right away do this: Turn the Jeep to on, not sitting in her. As soon as you turn her on
go listen to the fuel tank. If you hear fuel dripping back in it is the Check Valve. I beleive the check vavle is in the Fuel Pressure Regulator. You need to drop the tank to fix that. There are a few posts regarding that fix.
You have me stumped regarding the Jeep cutting off on you? Loose wire for the Fuel Sending Unit? That my also explain your Low Fuel Light?
Let us know pal.