You could pass all four in the url, and then set up the four search conditions in your Database Search server behavior. The URL would look something like this:
And you would create a recordset that includes these fields that you could then search against on your results page like:
SELECT *, Month(yourDateColumn) AS theMonth, Year(yourDateColumn) as theYear, Day(yourDateColumn) AS theDay DATE_FORMAT(yourDateColumn,'%p') AS AMPMValue FROM yourTable
You can then set up your search to compare all of the columns with an "AND" separator to make sure that they all match.