They were used correctly but the sentences were not quite natural.
I just heard that Tom has been demoted for some reason. Actually, he seems to have a beef with his boss and his boss seems to have it in for him these days . Anyway, I think his boss should have it out with him if he really has a bone to pick with him. Why demote him instead?
- I agree that boss or supervisor sounds more natural.
-Actually, I can tell that he seems to have a beef with his superior and his superior seems to have it in for him these days . //
You should pick either "i can tell that" OR "he seems to have" not both.
ex. I can tell that he has a beef with his supervisor.
ex. He seems to have a beef with his supervisor.
Having both is just repeating yourself.