Just so the law clerk, who no doubt is paying attention, knows this, a technical description of what is meant by “appearance of” would be helpful. Obviously law clerks can't present new evidence, but law clerks can explain how the rules work.
With regard to the schedule, I may be wrong here, but I'm just looking at this, and according to the schedule just handed out to us, we have some blank spots. I just went down it: May 5 from twelve to one o'clock; May 10 from eleven to twelve o'clock; on May 19 there's an hour, possibly, although I think drafting instructions in an hour might be optimistic.