This seems to be occurring when both a new event is added and when editing an event. I checked the timezone in the server options under Global Configuration and it is correct. I also tried adding the time zone in the JEvents advanced configuration section, which did not resolve the issue either.
I checked the start publishing date in a new article and it came up as 2016. In JEvents under Repeat Until for an event, it shows the same issue when setting repeat events.
I setup a menu item for adding an event on the front-end and got the same issue. It seems to be contained within JEvents, but do you have any suggestions on what I can try? Should I just try reinstalling it?