Hi!
I can surely help you in setting up the hook, but I think that in your case is not necessary to use the hook.
The shortcodes for all types of dates are already built into the plugin.
In the editor, when adding a text, you can click on the shortcodes button (the profile icon) and you'll be able to select all type of dates.
You can do it manually too, here are the date shortcodes for your example:
- Tuesday 19th February 2013
- [date:dtext] [date:dordinal] [date:mtext] [date:y]
Let me know if it works.
Thanks!