Bill - I found this post based on a search. I just started having this problem after not having any issues with reminders for the first year. All of a sudded, Calendar notifications are completely draining my battery.
I just unchecked the Program Notifications box, which I'm sure will resolve the issue. Strange thing is, I didn't change anything prior to this happening.
It simply appears as though the notifications are not terminating after a certain period of time, and just continuing on until the Axim is turned on. I will post back if I stumble upon anything that resolves this issue, and lets me keep my Calendar notifications without completely draining my battery