Albert Cipriani,
It is not out of the question to appeal to authority when the discussion at hand concerns the doctrine of the Catholic Church.
The Church herself makes use of both positive (Scripture, Fathers - authoritative) and speculative (reasoned) methods in the science of theology. What's more, with regard to my particular quotes, the first statement was actually in the form of a thesis, so it'd be hard to be taken out of context.
As for a reasoned argument concerning the matter at hand, miracles done by other men were performed only with the help of or permittance by God, whereas the miracles performed by Christ were done by His own power. And what's more, He communicated this power to others who performed miracles in His name. None of the people in your examples performed miracles in their own name. I would agree with you, however, that the acts themselves should be analyzed to determine their preternatural or divine nature.