It might be helpful if you didn't depend on the external program date to get the dateparts. Perl is perfectly capable of handling those dateparts itself, either on its own, or via simple, standard modules, or via more elaborate CPAN modules (and that's just one example). The latter can be used for relative date calculations; on the latter you can get by calculating the times in seconds, but watch out for summer time, and thus days that are not 24 hours long. Calculating days relative to noon, on any day, is safe.

To pass around the values, you need form variables (thus a HTML form, or equivalent), and form values processing on the server side, either via GET or POST; CGI.pm, which you are already using, will do fine.

For the form values, you can use any button to set a hidden input using Javascript before submitting the form; or you can use ordinary links, where you convert the parameter values straight to an URL. (Ordinary <input name="d" value="x" type="submit"> isn't usable because of the mixup in HTML between the value in the form and the text on the button.)

I could elaborate and give examples on all approaches, but just one solution is enough so you'd better let us know which approach you're thinking on taking.