But I'm scared of showing the video when the case hasn't been resolved yet. Wouldn't that be a problem?
Oh, it may well be, and this is very prudent of you. It's up to you - it seems reasonable to wait until the case has been decided by insurance.
But for sure you should assume it is your fault with what has been described; it's nearly always your fault when you hit someone from behind. Probably best not to ponder anymore whether it was or not - just consider how to change your driving style to avoid this sort of crash in the future (I am sure it was avoidable). There is, after all, no such thing as a traffic accident. There are only crashes.
Very fortunately, it sounds like no one was hurt, and really that's all that is of any consequence here. You'll be out a few thousand it sounds like, but life goes on.
Anyway, this will be useful information for our Tesla Truther video investigation:
http://ppmoe.dot.ca.gov/hq/esc/oe/p.../2018-RSP-and-NSP/Entire-2018-rsp-and-nsp.pdf
(Incidentally, page 28 provides the answer for what those fences on US395 north of Adelanto are for - desert tortoises!!! This is a great find.)
Out of curiosity, what sensitivity did you have your FCW set to, and did it go off?
There's always been talk here about how Teslas can detect the speed of the car
in front of the car in front of you. This is occasionally true (you will sometimes see two vehicles visualized in front of you), but this shows the peril in assuming that this is actually a reliable safety feature. Used in combination with human eyes, it
is pretty awesome, for in many cases a human will pick up an issue prior to the car - and in many other cases the car will pick up the issue prior to the human. But it's no good and coverage is woefully incomplete if the human driving is not in charge of driving and attentive.