I have multiple user events that add buttons to an SO. How can I change the order in which they display? I have a button that needs to be first in the list, but is currently the last.

You may want to try to change the order of the UE script in the "Scripted Record" screen Customization -> Scripting -> Scripted Records. Not sure that will do it for you, but it's worth a try. Put the UE that you want to execute first on the top of the list.