Ok... let's go through these
I think you missed a great point... let me give you an analogy...
An accident has just happened:
- there were 12 eye-witnesses who wrote there account
- Independently - A car junk location received two destroyed cars
- Independently - A piece of paper says there was an accident on the same day that the two cars were received.
But we are going to throw out and not take into consideration the 12 eye-witnesses and only take in the two independent supportive documentation?
I don't think so.
The independent documentation only supports the 12 eyewitnesses but the eyewitnesses are the most important. Thus we accept the gospels--because of their proximity to what happened
I'm not sure Tacitus was necessarily wrong calling him a procurator in as much as there are different definitions as time goes by. A procurator does have administrative powers. But inconsequential at this point.
I think you missed a great point in as much as "Christians" is already a direct reference to The Christ or Christ-like ones. Just that fact that they are mentioning Christians is evidence enough, IMO.
Not to mention the quote from his Annals - Book 15
"Consequently, to get rid of the report, Nero fastened the guilt and inflicted the most exquisite tortures on a class hated for their abominations, called Christians by the populace.
Christus, from whom the name had its origin," The bold is Christ.
So, in reality, the position of Subduction is quite weak.
About this time there lived Jesus, a wise man, if indeed one ought to call him a man. For he was one who performed surprising deeds and was a teacher of such people as accept the truth gladly. He won over many Jews and many of the Greeks. He was the Messiah. And when, upon the accusation of the principal men among us, Pilate had condemned him to a cross, those who had first come to love him did not cease. He appeared to them spending a third day restored to life, for the prophets of God had foretold these things and a thousand other marvels about him. And the tribe of the Christians, so called after him, has still to this day not disappeared.
- Jewish Antiquities, 18.3.3 §63
(Based on the translation of Louis H. Feldman, The Loeb Classical Library.)