From what I can tell, dcery is 2 pad (genitive, singular). Does anyone know why? I was expecting 4 pad (akusativ).
Yes, you're right! It is genitive, because the verb "ptát se" takes the genitive case. It is (or at least it was) covered in the Tips and Notes for the relevant skill... but I don't recall which skill that is, unfortunately.
Should be right this skill here
Whose daughter are you asking? Should be genitive in english as well, or am I wrong?
No, not really. In John's daughter the John is in genitive but the daughter is not.
The dcera is in genitive because the verb requires it.
Ahh, okay so the "svoji" is genitive while "dcery" requires it due to the verb. Do all reflexive verbs in the czech language work this way?
Which way? That they require genitive objects? No, they don't.
No, svoji is in genitive because it follows the case of the noun.
In: "dcera pana Františka" "the daughter of Mr. František" we have "pana Františka" in genitive for the same reason we have the "'s" in "John's daughter".
It is in the FAMILY skill.
Why svoji here is your and not our
Because "svůj" (and its forms) expresses possession by the subject of the clause. The subject of this one is "vy" (because the verb is "ptáte se"). "My", on the other hand, is not involved at all.