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Well "sua" can be "your", "his", "her" or "their".
It's because "seu(s)/sua(s)" are for the 3rd person, not the second. But, because "você" uses the 3rd person conjugation, it makes "seu(s)/sua(s)" work like "your" too. Then, this sentence alone can really mean "his" or "your", or even someone else's daughter.
The context is the only tool we have to identify it properly. Since there is no context, the natural idea is to think it's "his" daughter.
The second person pronoun is "teu(s)/tua(s)", this is only "your".
I was going to enter "his daughter", but I was concerned it wouldn't be accepted even though it is what one would expect. Of course when I submitted my answer, I see that "his daughter" would have been accepted. Based on previous experience with these answers though, I'm always guessing.
Yes, it is "carteira".
The feminine form for carteiro is "carteira" (https://dicionarioegramatica.com.br/2016/05/13/carteira-o-feminino-de-carteiro/)