will not engage transfer case in any position

Hello,

This sounds like the transfer case encoder has gone bad, but lets check the fuses #8 and #20 first. Here is a wiring diagrams for the transfer case so you can see how the system works:

https://www.2carpros.com/articles/how-to-check-a-car-fuse

Check out the diagrams (below). Let us know what happens and please upload pictures or videos of the problem.

Cheers, Ken