Each one of the things you mentioned is implicitly referred to in the New Testament and is prophetically foreshadowed in the Old Testament. I can get you the chapters and verses if you want. But more important is that if you want to show Catholic teaching to be in error, you have to show that it
contradicts the Bible, not that it simply “isn’t in” the Bible. Because lots of things happen that God wills which aren’t in the Bible. For instance, is the fact that the personalities of the angels aren’t explicitly described an indication that angels have no personalities? Or is the fact that Enoch’s virtues are not explicitly described in the Bible to be taken as an indication that he had no virtues?
Those ideas would be ludicrous. If something isn’t in the Bible, that doesn’t mean it didn’t happen. If it
contradicts the Bible, then it didn’t happen. Does that make sense?
And by the way, papal infallibility, though it wasn’t always defined with precision (Neither was the Trinity, at first), was in a general sense believed in from the very origins of the Church. It’s easy to back this up from the writings of the Early Church Fathers. Here are important sections of their writings that refer to it:
catholic.com/library/Authority_of_the_Pope_Part_1.asp