Does it have an el-cheapo aftermarket alarm with ign defeat?
How about the ign switch itself, Is it powering up the EFI computer as needed?
You may want to pick up a manual with wiring diagrams and
verify power to components like EFI ecu, coils, ign module, ect....
Just a couple of ideas now that the parts cannon is out of ammo.
Good luck and let us know.