Q. 1. What is the Catholic teaching regarding predestination. Will some of us go to Hell because such is our predestination?
A. 1. Humans are predestined to heaven, but only insofar as they cooperate with God’s grace. "God our Saviour desires everyone to be saved and to come to the knowledge of the truth." [1 Tim. 2:4] For that reason, Jesus said, “Strive to enter through the narrow gate, for many, I tell you, will attempt to enter but will not be strong enough.” [Lk. 13:24]
Everyone has a free will. He can choose to cooperate with God's grace and be saved or he can turn his back on the Commandments and the teachings of the Catholic Church that teach the way.
The Bible passage that makes reference to predestination is a reference to those that chose to cooperate with God's grace. God foreknew that these souls would cooperate with His grace. As such, these souls He predestined to be conformed to the image of His Son.
Reference: "For whom He foreknew, He also predestined to be conformed to the image of His Son, that He might be the firstborn among many brethren." "Moreover whom He predestined, these He also called; whom He called, these He also justified; and whom He justified, these He also glorified." [Rom 8:21, 30]