Well, back to work on the ol' night shift tonight and I see there has been some very good comments on this thread today.
Thank you for your responses.
Just to clarify Nevadaref, when I stated False Doulble Foul, I was talking about your PS sitch not my original sitch. But, you made some very good points.
This is what I advised my fellow official of how I would have handled the out of bounds runner and the foul by the screener:
No call on the player running out of bounds (since there was no whistle before the contact by the screener)
Intentional Personal foul on the screener for clothes-lining the player running beside the endline out of bounds.
I also stated that if he wanted to get "technical"...no pun intended...the official could have called a "T" for the player leaving the court, thus creating a dead ball situation. Then the subsequent "clothes-line" would have to be ruled as an Intentional Technical foul since it was during a dead ball.
This would then be Simultaneous Techs...no shots...go to the arrow for the throw in at the division line opposite the table. (Some might say that the throw in would be at the endline because of the Intentional foul, but Simultaneous Techs are handled differently.)
I think that is basically what BsktBallRef stated...which makes me feel good since he is one of those "experts" whom I was looking for an opinion from. 
....whew, stand back, it's getting deep now...
RD