Is there an option to have the game not auto turn after my units have moved?
Yes, you can toggle that in the options.
Is there an option to wait in tactical battles?
Yes, when you select a unit there should be an hourglass button on the left above the morale bar.
When casting a global spell must I always find my sovereign to cast a global spell or is there a general UI button I am missing to have the unit cast it?
You can easily find your sovereign at any time using the unit tree at the left side of the screen.