Oswald didnt even fire a single shot from the purported Carcano carbine he took to work with him that fateful day. There are so many discrepancies in the case, we could set Freaks server into meltdown hundreds of times discussing it.
One simple one, and its not an easy mistake to make for a well-trained eye (and this was the DPD), is the initial identification of the rifle. Originally identified as a Mauser.
Dont get me into all the factions of the FBI and CIA, Oswalds movements, Mexico City, Cuba, JFKs political adversaries, De Mohrenschildt, Paine, Marina, Ruby, etc. Theres a wealth of conflicting information, and I dont believe he fired a single shot. Paraffin tests corroborate that much, then you have to consider the lunchroom/stairwell incident at the time the shooting occurred.
Just my .02.