The Catholic Church has many, many more experts far better educated than you, evidently. I've met many priests with PhD's in theology, Scripture, Church history, etc. None of them agree with you.
With regard to your statement about the first use of the word Catholic, etc., you would do well to keep in mind that folks back then weren't that prone to writing everything down. Their focus was mostly on oral communication, by far, because the vast, vast majority of humanity was illiterate. It's only been in the last 100 years or so, that humanity has show interest in universal literacy.