We uploaded a Beta version of the Events module (03.03.08) with fixes (and enhancements) for some of the things folks have reported.  Here's a list of the issues/enhancements included:

03.03.08 Issues/Enhancements:
- Only friendly URLs are supported
- My Enrollments now works
- Fixed ModuleControlController.GetModuleControlByKeyAndSrc Issue
- Fixed Email for Enrollment Issues and Moderator Notification Issues
- Tested New Event Detail in Own Window setting
- Fixed Module Uninstall Issue
- Found Issue w/Multiday Events and fixed
- Found Issue w/Uninstall Script and fixed
- Found Issue w/Multiday Events in all Day View
- Added No Event Notification for Anonymous Users
- Added Turn Off TimeZone Display on Detail Events Form

Compiled and tested for DNN 3.7, DNN 4.4.1 and DNN 4.5.1

Register on my site: www.avanced.net to download this latest PA.  We will be submitting this version for release as soon as possible.

I could not find a good reason to support unfriendly urls...it causes several issues...I believe that's why the core team chose to implement friendly urls as the default.  Additionally, this is NOT an issue with the module.  We are making a call to the DNN "NavigateURL()" function...this generates the url tag.  So this is a CORE DNN Issue, not a module issue...have you looked a other standard DNN modules?  It's hard to believe that this is the only module using QueryStrings (parms) and NavigateURL()? 

BTW, please report back any issues you find in the 3.3.8 version on this thread that way others will benefit (if they read the entire thread).  Thanks.