I can see that your test post successfully publicized to your Facebook account:
Although in Settings -> Sharing of your admin panel, I noticed that all your social media accounts are disconnected:
I would connect these services again for Publicize to work properly.
In that same post, I am able to see the sharing buttons below it:
Please reconnect your social media accounts here:
And try publishing a new post to see if Publicize works. Please bear in mind that Publicize will only work for new posts and doesn't work on already published ones.
In addition, I am also seeing sharing buttons below your posts after clicking on their titles:
Can you try reconnecting your social media accounts as well and publish a test post?
Please let me know if you have any other concerns. Thanks!