Yippee! I found a solution for the display problem in the Apple Zen template.

Problem: When I clicked on an event to view details, all of the side boxes displayed on the left, below the details. Finally realized, it was because the table was taking up all three columns in the template.

Solution: Open up includes/templates/apple_zen/templates/tpl_events_calendar_default.php. On line 64 change:
<table border="0" width="100%" cellspacing="3" cellpadding="3" align="left">

to

<table border="0" width="80%" cellspacing="3" cellpadding="3" align="left">

Now the sideboxes should display in the right column!

Oh happy day. I had a moment of clarity.