Hi Peter:
in the admin when setting the events with the date picker I see 2014-05-01 which is also the way it shows in the events list in the admin.
In the event editor the datepicker always used a yyyy-mm-dd format. This isn’t a bug – it’s intentional – but if you feel you’d prefer it to follow the prescribed format set for the datepicker in the Events > Settings > Display admin screen we’d definitely be open to any feature requests you might post (or you could upvote any suitable existing requests) 🙂
In the actual list of events (in the admin environment) it actually ought to respect the event without year date format setting if it is an event taking place this year – so it sounds like perhaps something is going wrong in your case.
Can you confirm what format you are using for that setting?
Are you also able to run through our standard troubleshooting steps (disabling all other plugins but The Events Calendar/Events Calendar PRO) and switching to a default, unmodified theme? Does that help/allow you to identify any conflicts that may exist?