As I understand it the Pope is only infallible on matters that are specified by the Bible. Not all of the questions asked fall under that category. So it is possible that someone could answer "no" to some of those questions and not be in contradiction to the Pope.
Not exactly correct. The Pope's infallibility is not restricted to matters specified in the bible. His infallibility applies to all matters of faith and morals when he teaches as Pope or makes a formal ruling as such on matters of faith and morals.
As an example, Mary's assumption into heaven can be found no where in the bible. But Pope Pius XII infallibly declared that to be the case in 1958.
Pope John Paul II infallibly declared that the Church has no authority to ordain Women to the priesthood. Although the biblical roots of that teaching are indicated in the Bible, no where does the Bible specifically say that.