If you’ve put the links to members/activity/group under My Account, then they will not show up unless the member is logged in. I suggest setting up your menu so it has a Community top level menu item, then links to /members, /groups and /activity. Then under the My Account link, set up links to sections of their profile. You can do that by adding a custom link and putting ##profile_link##/*section name* in the URL. Like this
##profile_link##/messages
##profile_link##/groups
##profile_link##/profile
and so on
To add profile information, please follow the buddypress documentation: https://codex.buddypress.org/administrator-guide/extended-profiles/
This support site is not about custom work. If you need custom development please contact cornel@seventhqueen.com