Yes and no. It is two very different experimental situations, the magnetic moment is at rest (well, in an accelerator but the rest frame is defined by the muon) and the R_k anomaly is in an collision. On the other hand, as a theorists the immediate thing one thinks about is lepton universality, that the only difference between a electron and a muon is its mass, is violated. So there will be a lot of work this year on trying to explain both results at the same time.

Maybe. There are plenty of attempts to explain g-2 and LFUV in B decays in one go.

But really there's no way to know for sure yet.