Please click into the appropriate text fields before typing (the text field will be highlighted). Furthermore, the Flash movie must be focused as well (if you click outside the Flash movie after clicking into the text field, then it will no longer be notified of what keys you press).
There have not been any changes to the character creation code for almost a year. In addition, the fields are plain Flash TextFields, nothing else.
If you still encounter this problem, then file a new, proper bug report, detailing the exact actions you perform (every click and every key-press) to reproduce your issue. You can refer to http://www.chiark.greenend.org.uk/~sgtatham/bugs.html for information on how to write bug reports.