When requesting support please follow these steps:
1. Update all JEvents add on's first, via the Joomla! Updater 2. Copy and Paste the JEvents Support Information from the JEvents Control Panel. 3. If you get a 500 error OR white page, enable Maximum Error Reporting in Joomla! Global Config and visit the page again, this should give you a more detailed error and help us provide a prompt response.
I now see the problem - the latest events module works as follows in mode 3. If you have enough matching future events (5) then it shows these - ONLY if there are not enough will it look for past matching events.
i.e. its NOT the 5 events nearest to today - its biased towards future events.
p.s. in the UK we would not show children's dates or birth on a public website - I suspect it would break data protection and child protection rules.