If the injector pulse is the only thing missing i.e. there is spark and there's not a "check engine" light with the ignition on "reds", it's probably a fault in the anti-theft system/BCM. Most often it's the switch in the passenger side 'A' pillar. If you have the key, try turning the switch to "off". If no key, unplug and bypass/jumper wire the switch terminals (=> drill out a rivet or two to remove the plate shielding the wiring connector behind the vent).
If bypassing the switch "off" yields an injector pulse/CEL and the switch is OK, the BCM or remote is probably faulty (although it might be the wiring to/from the BCM and the ECM). The BCM and (a) matching remote(s) can be replaced. The BCM is above the vent dusct behind/above the glovebox.