Here’s an example of how to do it for messages:
<li><a href='#'>Inbox ()</a></li>
You can adapt that with appropriate slugs for all the menu options. If you want further pointers, @pollyplummer ‘s sliding admin panel will give you a good example of how to adapt and reimplement the account menu
As well as Roger’s pointers, you probably need to read through the docs pages as some things like this request will require a little bit of inner workings knowledge.
I would suggest reading through this page which will give you all the clues you need to be able to remove an adminbar item and relocate it somewhere else, also this isn’t a hugely difficult thing to achieve.
https://codex.buddypress.org/buddypress-site-administration/modifying-the-buddypress-admin-bar/