Hi, I have a similar problem. JEvents stoped working after updating to Joomla 3.7. The server returns the 404 error. But I can see the events on the back end.
Please find my suport info below:
PHP Version : 7.0.15-0ubuntu0.16.04.4
MySQL Version : 5.7.17-0ubuntu0.16.04.1
Server Information : Linux webserver 4.4.0-62-generic #83-Ubuntu SMP Wed Jan 18 14:10:15 UTC 2017 x86_64
Fix jQuery? : Yes
Load JEvents Bootstrap CSS? : Yes
Max Input Vars ? : 1000
Club code set? : No
User Agent : Mozilla/5.0 (Windows NT 10.0; WOW64) AppleWebKit/537.36 (KHTML, like Gecko) Chrome/57.0.2987.133 Safari/537.36
Joomla : 3.7.0
component_com_jevents : 3.4.27
module_mod_jevents_cal : 3.4.27
module_mod_jevents_custom : 3.4.27
module_mod_jevents_filter : 3.4.27
module_mod_jevents_latest : 3.4.27
module_mod_jevents_legend : 3.4.27
module_mod_jevents_switchview : 3.4.27
plugin_content_jevents : 3.4.27
plugin_finder_jevents : 3.4.27 (not enabled)
plugin_installer_jeventsinstaller : 3.4.27 (not enabled)
plugin_search_eventsearch : 3.4.27 (not enabled)
plugin_system_gwejson : 3.4.27