Visible crew/equipment: After Kira returns the expensive gift to Zek, when Quark kneels in front of Zek we can see the T-mark on the floor, under the table. (00:23:15)
Factual error: The originally-aired version spelled the word "Acquisition" without the "c" and it appeared in the credits as "Aquisition." This goof has been corrected in the DVD versions.
Chosen answer: No. He's given his name, that's all. Nothing there that might lead to a paradox. If he's gone into detail about his time travelling, that might cause an issue or two, but simply stating his name does nothing.
Tailkinker ★