Who Wrote Hebrews?

The author of Hebrews doesn't give his name anywhere in the book.
But there are many commentators who feel that author could have been none other than the apostle Paul.
What I see as very “Pauline” is many of the same “object lessons” in Hebrews that Paul used in the past.
For example…

1 Corinthians 9
24 Do you not know that those who run in a race all run, but only one receives the prize? Run in such a way that you may win.
25 Everyone who competes in the games exercises self-control in all things. They then do it to receive a perishable wreath, but we an imperishable.

This is very Paul.
I figure Paul for a jock. A guy who loved sports. He talks about racing and boxing and competition.

Galatians 2:2
because of a revelation that I went up; and I submitted to them the gospel which I preach among the Gentiles, but I did so in private to those who were of reputation, for fear that I might be running, or had run, in vain.

2 Timothy 4:7
I have fought the good fight, I have finished the course, I have kept the faith;

Now compare that to what the writer of Hebrews says…

Hebrews 12:1
Therefore, since we have so great a cloud of witnesses surrounding us, let us also lay aside every encumbrance and the sin which so easily entangles us, and let us run with endurance the race that is set before us,

It’s stuff like that that makes you wanna go, “Paul? Is that you?”

There’s a couple more…

Ephesians 6:17
And take THE HELMET OF SALVATION, and the sword of the Spirit, which is the word of God.

The Word Of God is a sword.
The author of Hebrews agrees…

Hebrews 4:12
For the word of God is living and active and sharper than any two-edged sword, and piercing as far as the division of soul and spirit, of both joints and marrow, and able to judge the thoughts and intentions of the heart.

Then there’s my other clues from Hebrews 13.
In verse 19 he talks about being “restored to you the sooner”. Was he restrained?
In verse 23 the author was good buddies with Timothy.
Verse 24 the author was either writing from Italy, (where Paul was imprisoned in Rome), or was coveying greetings from the brothers in Italy. (I say that because the author doesn’t say, “I’m writing from Italy.”)

So, you see there is some heavy things to consider when suggesting Paul wrote Hebrews.
But, those who think Paul wrote it have to answer a question.
Paul says in Galatians…

Galatians 1:12
For I neither received it from man, nor was I taught it, but I received it through a revelation of Jesus Christ.

But the author of Hebrews says…

Hebrews 2:3
how will we escape if we neglect so great a salvation? After it was at the first spoken through the Lord, it was confirmed to us by those who heard,

It begs the question, “Was the author given the gospel by someone who heard first hand from Jesus? Well that rules out Paul then because he didn’t get the gospel from somebody else.”

It doesn’t take much stretching to say that the verse doesn’t necessarily mean that the author learned his/her total knowledge of the gospel from information second hand.
Just that it was confirmed by eye witnesses.

Ah well.

I’m thinking about somebody that, at least, knew Paul personally. (Pauls same examples are used in several places.)
Was a Jew, (perhaps a Levite with good knowledge of the Temple rites).
Personally knew Timothy.
Was “restrained” in some way to need to be “restored”.
Well educated. The good Greek for example.

I’m wondering if Barnabbas is our author.