The date field does not show up when I convert template to a PDF
Hi; I am guessing that you are referring to the date picker next to the date field, the field should certainly show up in your PDF but the date selector/picker would not. The field has validation for a valid date forcing users to enter a date in the expected format.
If you actually have a PDF that doesn't include the field at all you can send me the PDF at jcorey@adobe.com and share the form with me following these instructions and I can take a look further: http://forums.adobe.com/docs/DOC-2462
Thanks,
Josh