@crockett36
I will post some screenshots explaining
Edit
You used the USA Rail correctly. Click on the Rail and then the unit it is going to transport.

The Rail started where the unit it moved already was, so when that's not the case, you move the Rail unit to the TTy where the unit is that you want to move.
Then reclick on the Rail and the unit and finish the move.
Here is an example using UK Rail and moving the India Mech to NW Persia
click on the Rail in S AF

Move to India

Leave rail there

Clicl on Rail again and the Mech also

Then move to NW Persia

If you have a situation where the Rail in S AF is blocked from India, Trans-Jordan in this example

We use edit "Perform Move or Other Actions"


Then click on Rail again and the Mech and move to NW Persia

Edit Air Trprt
For Air Trprt, in NCM, click on Air Trprt

Select number to load, in this case you want to load so you click on the triangle thingy like you would in purchase

Then select the unit to load
we select an Infantry, which is the only option. When there is more than one option, it will list the others as well.

Then fly him to where you want to go.

Remember, correct movement is Player Enforced.
If you don't want to transport a unit, you hit "cancel"

and then fly to where you want to go

If there is more than one Air Trprt you can select as many as you want to load and move or not load and move at the same time.