My Client wants to know if the "users" tab can be set to be the default tab showing when entering a group page.
Nope, at this time you can't rearrange the core tabs. You can only rearrange the plugin tabs by reordering the plugins in plugin management.
Also is there a way to change the name of the tab from "Users" to something else, like "Members".
Yes, navigate to GJ > Config > General > Overrides and you can quickly override its usage all throughout GJ.