He saw Kaz sitting there, curled up in a firey ball and scorching the patch of grass he was sitting in. His large, leathery black wings (which you will quickly figure out why they're not in his picture that's not a mistake-) were folded behind his back and drooping.
Yes, they do. Bakugou was legit dating Kaz for a long time. Kaz just sort of appeared out of nowhere, Bakugou clearly liked showing him off, and no one really knew where he came from or anything like that, Todoroki didn't interact with him much since-y'know-he's with the Deku squad.
"Mph-don't worry about it-I'll be gone soon and then it'll stop."