The Neutral/Park Safety Switch is a possibility but is less likely given the fact that you have abnormal Security LED operation. BTW, the Neutral/Oark Safety Switch is called Inhibitor Switch (Automatic) or Clutch Interlock Switch (Manual). There is no Starter Relay for the 96 I30. The Starter Solenoid (in Starter Assembly) engages when the Ignition Switch at START position and BOTH Theft Warning Relay (controlled by BCM/Warning System) and Inhibitor Relay (Clutch Interlock Relay for Manual).
Refer to the link below for additional info. Page EL-25 for description and EL-26 to EL-28 for wiring diagram and EL-276 for component location.
http://www.nicoclub.com/FSM/i30/1996_I30/el.pdf
There is a SINGE-WIRE connector (wire color coding depends whether it's Automatic or Manual) that goes to the Starter Solenoid. You can disconnect it and take voltage measurement while somebody starts the car. If you get 12 VDC during starting, the interlocks (Theft Warning and Inhibitor Relays) are satisfied and you may have a problem with the starter or a weak battery. If there is no 12 VDC available (more likely), then it's either the Theft Warning Relay (controlled by BCM/Security System) or the Inhibitor Relay (controlled by the Inhibitor Switch) giving the problem.
Since most likely the starting problem is associated with the abnormal Security LED indication (problem with BCM/Theft Warning System), then you can remove the Theft Waning Relay and jumper Pins 3 and 4 (to bypass the Theft Warning System interlock) to start the car. The relay location is shown on page EL-276