Is there any API to get all the users list and there last login activity for DropBox?

You can use the /2/team/members/list[/continue] endpoints to list all of the members of a connected Dropbox team. It does not return information about when the member last logged in to Dropbox though.

Instead, you could query /2/team_log/get_events[/continue]. You can check for whatever kind of events you're interested in (such as "login_success") to see when each member performed those events. That's not ideal of course, as it's not particularly efficient, so I'm sending this along as a feature request for a better way to retrieve this information. I'm not aware of any current plans to implement something like that though.

you can chatting a dropbox agent, they are very helpful, will guide you. 

you will find them on dropbox hopmpage