pa-ter-ni-ty, Fatherhood; the fact of being a father; derivation from a father; as, the child's paternity; origin; authorship
To me, looking at all the quotes, I agree with Theresa and Catholic teaching, because Jesus goes on to use the term Father Himself, 'your Father Abraham', so do St. Paul, St. John, etc.
None of the apostles ever told anyone to call them father. Paul referred to himself as a father in the sense that it was he who first brought those people the gospel.
1 Cor. 4:15 For though ye have then thousand instructors in Christ, yet have ye not many fathers: for in Christ Jesus I have begotten you through the gospel.
I have begotten you: I is emphatic, producing the thought,"I- rather than your ten thousand instructors-am responsible for the beginning of the Christian assembly." The term begot does not so much denote the conversion of these people, but that Paul laid the foundation (1Cor. 3:10)
Becky