So, after a few hours, and yes, I am using the most current version of JEvents, I solved the problem: repeats aren't permitted to go for more than 2 years into the future. If so, then they will not show up. I set the end dates for 2013, and all was fine. Any time I set an event to run later than 2013 (100 repeats?), I ran into event display problems.
NOTE: I also couldn't set an event to show up for its repeats (only the initial event showed up), if I set repeats to a number of times, rather than a date to end. Even if it were only 3-4 repeats.
Bottom line: somehow, JEvents is not processing certain types repeats in Apple iCal-exported .ics files.
Any ideas on why this is the case?
kolberamah.org is the website, by the way.
PS: There are also some odd things with time zones, but I got that working, too.