How you leave the Catholic Church depends on where you live. In some places you must register with the government so you cease paying a church fee. In the United States, you simply stop going. Unlike Protestant Churches, The Catholic Church does not keep a membership roll. If the priest comes by to ask what happened to you, you simply tell him that you left the church. (You leave a Jewish Synagogue by not paying your annual fee.)
If you want to use one word, I suggest non-attender, meaning that a person is not a churchgoer. In the Catholic Church, someone who no longer goes to church is referred to as a lapsed Catholic.
Yes
A priest who resigns is considered to have resigned from the Church itself and is no longer considered as a Catholic. Since he is no longer Catholic he is free to do as he pleases. However, a priest can remain in the Church as a Catholic if he is laicized. To be laicized the bishop of the diocese would have to declare the priest's Holy Orders as null and void. In other words, he would no longer be a priest. He, too, would be free to marry but would still be considered a Catholic.
A person who was baptized Catholic but no longer attends church services on a regular basis
No.
Protestant or Catholic? (The Catholic Bible is longer, so there could be more examples.)
Then baptize in Roman Catholic... I don't see the question.
The Church will not marry a Catholic to someone who is divorced because it is a sin.
Children and adults can be baptized into the Catholic Church, though they may have to attend classes beforehand, to learn what it means to be Catholic.
Yes, he does if he was previously married.
Catholic Fathers can have two meanings: either priests, or fathers of families who are Catholic. You need to specify which you want explained.
The Illuminati did exist at one point but the Catholic Church is no longer a dictatorship so there is no need for them to exist any longer.