Can I check for the latest changes that have been made within OneInsight by myself and other user accounts?

Yes. In the section Administration -> "System Logs" you can check for the latest changes that have been made within OneInsight for different types of actions, such as e.g. editing a person, running a campaign, or creating a filter. 

OneInsight provides you with the user name and the date when the action has taken place. By selecting the entry, a window appears with all of the log details and the changes that have been made (visit "Checking for the latest changes").