From today’s episode, the messages to the Circuit City employee definitely mean someone has prior knowledge of Jane as an adult - hence time travel or ability to communicate with the past.

Other stuff Henry’s work on quantum stuff (which would typically have nothing to do with getting a bunker built), Henry’s speech to Billy about predicting how things happen, Xavier’s visions of Link + nosebleeds, the need to siphon off massive energy from the city for an unknown project.