2003 Mercury Sable GS Good battery, good fuses, relays, wiring etc.*

With factory key, I turn key to ON and theft light is normal NOT rapid, ...when turned to START I can hear the starter relay click faintly, but starter solenoid does not engage.*

Pulled starter to test it, solenoid and starter tested just fine. Re-installed and it started the car. Drove it around the block a few times then turned ignition to OFF and when attempting to START again, ...faint relay click is all I get. Solenoid doesn't engage.*

As stated, not believing this is an anti theft issue because THEFT lamp isn't rapid. I've done a lot of reading and I'm not knowing what else I can do.*

If my key got scrambled by a magnet, would it trip the antitheft (rapid blink)?

Any help on diagnosis would be awesome. Thanks!!!