Yes, it is private by technology:
GPS and other systems working the same way are passive, similar to receiving a radio signal. You’re receiving the signal of several satellites at the same time and your device calculates your position based on those signals. You’re basically getting “I’m satellite cool boy and at the next beep it’s exactly five past nine” all the time - only with a bit more precision. Your device does rhen the actusl position calculation locally.
Fun fact! Geo positioning is one off the few things where we need to apply both general and special relativity for real world effects: the effects due to the satellites speed and high distance to earth (and therefore the reduced effect of gravity) cause a significant shift in the speed in which clocks run on those satellites compare to Earth. As we use the exact time to calculate distance and with that position this would cause a huge drift otherwise!






The answer is a clear yes.
In short: Choose your tool that will suit you throughout your degree and really dig into it and learn it now while doing your paper.
Long version:
This is absolutely common and I’m not aware of a text editor which supports footnotes but doesn’t support automatically numbering and referencing.
In latex there’s actually a \footnote that takes care of that. In libre office, if I recall correctly, it’s Insert -> Footnote and I’m sure there are templates with the proper formatting and font sizing already in place.
Now it sounds like you’re quite early in your higher degree career - depending on your goals and future challenges you might want to either go the easiest route or really dig into writing-based formatting: It’s just faster if you’re typing all the time to not switch to a mouse to inert footnotes - but only if your really used to it.