It is a reasonable inference that Oswald brought the gun to work that morning:
A. Oswald's gun was found at the murder scene.
Except you forgot to prove that it was "Oswald's gun".
B. Oswald's gun was last seen in Ruth Paine's garage wrapped in a blanket made with brown and green fibres.
Except you forgot to prove that it was a rifle in the blanket (especially the Carcano).
C. Oswald was in Ruth Paine's garage the night before the murder
And the evidence for that? Ruth Paine noticed that a light was left on.

D. Oswald took a long package wrapped in brown paper to work on the day of the murder.
Not long enough
E. Oswald told Buell Frazier that it contained curtain rods for his room.
Not relevant to a rifle.
F. Oswald's room did not need curtains.
You don't know that. And curtain rods aren't curtains.
G. No curtain rods were found at the TSBD and Oswald did not leave the TSBD carrying a long package.
Who looked for curtain rods at the TSBD? And nobody knows what Oswald left with.
H. A long paper package similar to the package described by Buell Frazier and Linnie Mae Randle was found in the murder scene
Was it really? All we got was a photo with a dotted line drawn on it.
and it was found to have Oswald's palm print on it.
Irrelevant to a rifle.
It also contained fibres that were indistinguishable from fibres from the blanket in which the rifle had been wrapped.
a) fibers cannot be uniquely matched to a specific object, like a blanket
b) there is a photo showing the wrapper lying on top of the blanket on a table
Any juror could easily draw the inference that Oswald took his gun to work on the morning of 22Nov63.
Only if manipulated with a series of false, misleading, or unsubstantiated claims like the above.