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it could be an ignition switch or if you have a aftermarket alarm usally code alarms are famous for causing the problem your describeing because the open circut starter kill pits the relay causeing it to fail.
if you think its the alarm find the control box and unplug the harness with the key switch open then plug it back in ur alarm should go off dont worry it will shut off on its own so leave it be dont use your remote the alarm will reset itself after about 15 minutes to ahalf hour then give it ago it should start back up if its your alarm i mean ur security system is at fault