Courthouse Question

Hi hi!! Looking to get married before our actual wedding celebration because ~logistics~. I know we need to get the license and then the certificate can be granted 24h later. Jefferson Parish mentions a $4 express fee. Does that mean we can get married in the courthouse at the same time as getting the certificate? Any advice on showing up and getting married all in one swing? JP or Orleans Parish preferred, if picking is allowed lol. We both work healthcare jobs with horrible hours so two days off is going to be a logistical headache. Thanks so much in advance!