Does the check engine light come on, key on engine off? It should.
After you turn the key to on, but before you crank it, does the fuel pump come on, run for two seconds and then turn off? It should.
If both of these fail then look to see why your ECM isn't working. Most likely the problem with the ECM not working is no power to it but they do also go bad. Just don't assume the ECM is bad before looking to see why it isn't working.
IF the two above tests pass then crank it and see if the tach rises to 200 rpm and then falls back to zero. I that fails then look to see why the primary side of the ignition system is failing.
Since you said the engine cranked, fired and ran for a very short period of time, that does sound like a non-working ECM. The 2.8 has a 'cold start injector' that squirts fuel into the intake WHILE CRANKING and while the engine is cold. There is also an electric heater so it basically only does it at the start of the first crank or until you let the car sit for 15 min.
A common failure of the power to the ECM is an open ECM reset connector. If these two parts are not plugged together the car won't start and you will get the failure on the first two tests. It is located under the big electrical plug next to the battery.
Some fuses don't have power with the key on? You mean like the dash light fuse? Yep that is normal.
Also do make sure you have +12v on both of the studs of the power distribution posts shown above. They should have +12 all the time (unswitched)
[This message has been edited by phonedawgz (edited 04-26-2014).]