Cars cant be haunted - but they can be sabotaged, and yours is - you have an aftermarket remote start kit installed and it is falsing for what ever reason.
If you grab the "sticky key" PDF and use it to take the bottom of the dash apart, you can inspect the wiring at the ignition switch, and it will be obvious.

Remove the abortion and restore the car to factory and your problems will be over.

(I suppose the kit may be installed in the ECU/RCM box but it would be more likely to be under/in the dash.)