Since the first foul was an intentional PERSONAL foul and the second was a flagrant (you said the player was DQ'd) TECHNICAL foul, these two fouls cannot make up a double personal foul or a double technical foul.
They also don't meet the definition of a simultaneous foul.
Therefore, it would be incorrect to use the POI rule.
This is a false multiple foul and as you said the fouls are penalized in the order in which they occurred with each foul carrying its own penalty. The final part of the T is the awarding of the ball at the division line opposite the table to the offended team.
You got this one right.
I edited this because I misread the original post.
I thought White #1 committed the T for the second shove. Sorry.
[Edited by Nevadaref on Dec 20th, 2005 at 09:04 AM]