The general rule is that property owned prior to a marriage remains the separate property of that owner. So the answer to your first question is generally A.
The answers to your other questions will depend on whether the couple is in a marital property state or a community property state, because the default rules regarding marital income are different.
Yet if you take that view then by sharing in the mortgage payments partner A may have become landlord to partner B and renter’s protection might apply to partner B.
If three was a mortgage on the property the payments on the principal are presumably community property, and the appreciation of that post of the value.
The answers to your other questions will depend on whether the couple is in a marital property state or a community property state, because the default rules regarding marital income are different.