From the (contrived) perspective of a photon, you also can establish that the observation of the entire universe rushing
backwards past it such that origin rushes away and destination rushes in
insyantaneously... Because the observable (sic) universe around the photon suffers extreme lorentz contraction to make it a zero-length journey, hence the (perceived/experienced) instantaneity.
But when you're getting infinities out of equations, and you're not truly running a hotel to which an infinite number of infinitely capacitous tourist coaches have just rolled up unexpectedly, best not to actually pretend that it
can be experienced.
So... Where were we..?
Yes, movement is always relative. Try juggling whilst on a train, in an airplane cabin or even just
stood on the equator (1000 mph of spin, before adding/subtracting Earth's solar orbit, Sol's galactic orbit/drift, the galactic dance with Local Group partners, and the rest). Newtonian physics with an assumption of a stationary ground works well enough in the short term (and coriolis forces/vertical precession probably don't kick in enough to worry you, wherever you are).
Anyway, given that you only see the progress of light (or similar)
via light (or similar) transmitting light in any direction to bounce back at you involves waiting exactly the same amount of time (see also
Michelson-Morley). And, if you like, your experience of a photon sent one light-minute away and then bounced straight back to you is of a photon that takes
two minutes to get to the destination (for each period of time the photon drifts away, you can't possibly experience it until the same period of time has passed to inform you that it has gotten to that point) then apparently zero time to return (all information that the photon has arrived and is coming back to you is exactly keeping pace with the original photon). Which rather confuses any concept of 'now'. To you, 'now' at the mirror is a different thing from what the mirror thinks about your 'now' (it knows your 'now' happens until some time after/before its own version of the 'now', depending on what it is trying to match up to that).
Or, to put it another way, there is no such thing as
light by which you see light, by any 'normal' understanding, so you're stuck trying to bend your mind round what you're left with.
Hmmmm... I'm definitely going off into weird (if not 'wyrd') territory, which I'm not sure is helping. Taking another break, before I try to confuse you about other points brought up, too.