Check engine light on, code p2014, crank not start issue

Yes, the codes P2014 is telling you there is a faulty intake manifold runner control solenoid which shuts down the intake so the engine will not start. Here is the location so you can change it out and fix the problem. #19 in the diagram. Check out the diagrams (below). Let us know what happens and please upload pictures or videos of the problem.

Would this issue cause loss of power to part of the fuse box?

There is a power supply relay that needs to be checked. here is a guide to help and the relay location in the diagrams below #1:

https://www.2carpros.com/articles/how-to-check-an-electrical-relay-and-wiring-control-circuit

Check out the diagrams (below). Please let us know what you find.

How does the power relay work? What could be causing it to not engage with the key in ignition?

Nice work, I think you have found the problem, let's try a new relay in that position to see if it works. Also, you can try holding the relay engaged to see if the engine starts.