My 2 Cents
Ok buddy, my two cents... . as I am a hurting Military member who Nobama wants to TAKE MONEY and my sled keeps breaking here and there.
First, I would take a look at the smoke issue of startup. Whenever you can startup your rig, take a look at the smoke that comes out. We're looking for color and ODOR. If it smells like raw diesel buring that isn't areated, could be a lift pump or injection pump. If blue, the blown rings or oil leaking into the cylinders during firing stage(s). Black is good. White is BAD

If you see white, better get that checkbook ready.
Second, I would NOT worry about the keyless entry system, as far as I know, no second gen 24V people have had this problem. Newer trucks, yes, older no.
Third, it is IMPERATIVE that you get a FP gauge [post] the LP. REALLY important. Further, once this little gremlin

is fixed, it can help you with any other question or help US with any question you have. Now off to the buying pit, I would go with ISSPRO, that is what I run. It is hit and miss, everybody is with a different person. Everybody will give their two cents. I would go to
Dodge Cummins Diesel Truck Accessories - Geno's Garage for the best deal. On a side note, with that gauge, I would add a pyrometer and turbo gauge. The more informed driver is the driver who can diagnose the problem more effiecently and more ECONOMICALLY.
Fourth, after all of this stuff you have done, I would take a look at the return line of the pump. If you have a blockage their..... the truck would start after a break, as a break would reduce pressure (vacuum) and allow fuel to the engine. But once started, the blockage would pose a vacuum problem and cause the truck to be starved of fuel. Also, I would take a multimeter to the LP and VP and see what kind of voltage they are getting. Should be 12VAC. If it works out, and still dies, I would trace the lines and see if there is a blockage in the return.
Fifth, the gents talked about a OBDII sensor. Should you NOT want to buy one (but I would buy one as this is the first gen of ELECTRONICALLY controlled diesels engines for Cummins in light duty), you can do this simple test. Get in the cab, close the windows and doors, and stick the key in the ignition. Turn the key to on [not start], wait 3 seconds exactly, turn to off position, turn to on position [not start] for 3 exact seconds, turn to off position, turn to on position [not start] for 3 exact seconds and wait. Look at the odometer, there will a P code that is displayed. If there is more then one, after the first one, it will say pause, then give another (i believe) and when there are no more codes, it will say PDONE. Go to the forums for a description of codes; this is the easiest way to diagnose most codes for this gen of trucks... .
Keep us Posted,
God Speed,
J. Gamble