This is what I believe to be the main issues with the morning traffic flow. 

 1- The traffic runs into it's self as shown below, the traffic leaving the drop off zone has to move past the traffic trying to enter the drop off zone.

2 - Parents stopping and waiting to long in the drop off zone.

While I believe #2 can be corrected by training the parents not to stick around. will still be stuck with issue #1 unless the direction of the flow is changed.

The following is my attempt to illustrate issue #1

The following is my attempt to illustrate a possible fix for issue #1