Yes, 'though' is used correctly. Your sentences needed a couple of other changes, though. Did you recognize who the guy was when you saw him over there by the post? Yes, absolutely. How couldn't I recognize someone walking on a crutch? He was surely the boy who though badly wounded, had made the best of it in the match yesterday.

Hello Moon Young, I made a few corrections: Did you recognize who the guy was when you saw him over there by the post? Yes, absolutely. How could I not recognize someone walking on crutches? He was surely the boy who, though badly wounded, made the best of it in the match yesterday. Hope that helps.