Glad to have some feedback. Thanks folks.
First - these events are NOT MODx documents and therefore one calendar per site is what you get... At least till the next version (which should be soon as we have need of it at work).
I’d love to help with the AJAX issues, but without URLs to the pages with issues, it will be really hard for me to track. The first thing that comes to mind though is when you put your snippets in the document, you need to put it in a DIV with the ID specified in the customs file. For example:
<div id="myLittleCalendarThingy">
[!EasyEvents_MiniCalendar!]
</div>
Then you need to be sure that your customs file has "myLittleCalendarThingy" as the mini calendar div. If you’ve done that AND made sure that your AJAX (server side) page is defined, then I’ll need to see the page specifically to get any more ideas. I ran through the installation myself several times - and tried to get it as complete as possible.