By default, the Lithium platform shows the most recent badges a user has been awarded on their profile page. I imagine it could be possible to develop a system where users get to choose their badges that appear, but it would require customisation work.
The platform doesn't currently have any way to show badges outside of the community.
You might like to suggest both ideas are added to the Lithium platform via https://community.lithium.com/t5/Product-Ideas/idb-p/Lithium_Ideas
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