Hey Johnny –
If the drag and drop is not working on the order page, I would assume that there is some sort of javascript conflict with one of your themes or plugins. To figure out which one, try switching to the TwentyTwelve (or any other core WordPress theme) and see if the order begins to work. If not, deactivate all of your plugins except for Simple Staff List and verify that the ordering screen functions properly. Then start to reactivate the plugins one by one until the ordering function stops working again. The last plugin you activated is the one with the conflict. If you let me know which plugin/theme you’re having a problem with, I might be able to help you debug it further.
Regarding your question about groups, if you have a group named “Robots” you can display the members of that group like this: [simple-staff-list group="Robots"]
Thanks!