artworkmonger

as i was saying, javascript conflict.
you have 1 jquery error and 18 errors related to the calendar.
look here

i don’t understand exactly what you’re trying to do, but if you’re unable to pick a date or scroll months, you might have some javascript conflicts in your theme.

add this to your form:

[cf7cal your-date] or [cf7cal* your-date] (if you want to make the field mandatory).

because you’re using it wrong.
you need to call it like this:
[cf7cal your-date] or [cf7cal* your-date]