Points to Ponder:
It's impossible to replicate two very closely fired shots like the first and second shots with an old-fashioned gun as was supposedly used. I'm not a big fan of the witness statements because many people were not expecting this to happen [obviously] so they heard and saw this is not entirely accurate. But Connally swore until the day he died that the first shot was not the one that hit him. And the Z film backs this up.
Pat Speer did a good job of researching and finding that it'd be next to impossible for Oswald to have gone down the stairs immediately after the shooting and to have not been seen by one of the black co-workers. Look it up on his site.
There were shooting reenactments on a CBS TV special from back in the 60s and none of these so-called sharpshooters could replicate Oswald's amazingly accurate shooting...but equally amazing miss.
But speaking of the miss, I do speculate that the Tague "chips on the cheek" story could not be 100% accurate. I find it very hard to believe that a shot hit that far off target, causing the chips to fly up.