The ISN provides a great feature that allows how an inspector appears in the Inspector drop down list or on the calendar.
Changing the order in which they appear is under Admin -- User Administration. Hold your cursor over the icon on the far left side of the screen beside each user (there is an icon comprised of three stacked horizontal lines called a 'Hamburger Icon' that you can click and drag).
It will say Drag Me and then use your cursor/mouse to drag and drop where the user/inspector is to be moved within the list.
Left click and hold on your mouse and drag the inspectors or users into any order you want them in. Now go to your order form and you will see them in the order you chose.
They will also show in your calendar list and on the calendar this way as well.