It's Only a Paper Moon - S7-E10
Continuity mistake: When every senior staff officer is in the conference room, watch Dax's rank pips. They change places from a shot to another, going (mentioning from left to right on her collar) from black-gold to gold-black and coming back to black-gold. (00:16:25)
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 ★