Interesting experiment design. My first thought is that neither end of the 1.3km-separated ends are isolated from earth's magnetic field (unless you know differently). In similar fashion, gyroscopes do some interesting things but, even in free fall (or earth orbit) they are never fully outside earth's gravitational field.
As an unconnected thought, the 'speed limit' is that you cannot drive *matter* beyond the speed of light, as energy gets turned into additional matter, to the point of zero acceleration.
I've seen nothing to suggest that 'fields' are not permitted to 'travel' or change shape faster than light, other than than E-M fields are not allowed to propogate waves faster than light. (With apologies for a statement of the obvious).
A spinning electron must impart some kind of waves in earth's magetic field, which the other electron is impacted by and alters its spin to match?
Or something we fon't yet understand is going on. Kewl.