BuddyPress.org

Do you mean also that members can’t access to their profile settings when they are on their profile page ?

The BP usermenu on the Toolbar, under Howdy (top right) mimics the usermenu of the BuddyBar which is on each profile.

Have you enabled Extended Profiles ?

Or use this snippet to login redirect your users to their profile.

ps: i removed your site url as it is locked to public – which doesn’t help no one to help you.