From everything your question and details say i would answer that no your gps and anti theft alert light are not enough to drain your battery.
Gps tracker draining car battery.
Hidden gps tracker for car is a helpful gps tracking device to recover stolen vehicle compared to normal real time gps tracking system.
I say that assuming that everything else is working well within your electrical system.
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About 20 years ago this might have been the case and as a result the conviction arose that if a vehicle was wheeled into a service centre the problem must lie with the tracking unit.
The type of tracker your after is a hardwired gps tracker.
There is a misconception that a tracking device is most often the reason for the drain on a vehicle s battery power and for the vehicle not starting.
These can easily be installed by connecting the wires to the car battery there will be instructions provided when you buy the tracker.
A car repair place installed a gps tracking interlock on my car and it is draining my battery.
The hidden gps tracker for car are mainly used for bank financed cars to avoid fraud or stolen.
Yes it s a minor system drain but since it has to stay on all the time then yes it s going to drain the battery slowly.