cbingham: You have to talk to Mosely about the case (try to convince him to re-open it) and go to Napoleon House and talk to Sam.
There may also be stuff you missed on the first three days that has to be done by day 4. For example, if you didn't get two readings from Madame Lorelei on day 3, you have to get them on day 4 (if you only got one reading on day 3, go back to her and talk to her again). You also have to get the veve from the artist and show it to Hartridge. And if you haven't already done so, I'd recommend showing the murder photograph to Hartridge (you don't have to do it, but you get points for it) and also Dr. John and Willy Walker (you don't get points but it's a good idea to show it to them). You can also ask Grace to look up Rada drums
If all else fails, just go everywhere and try everything.
Thanks! Now I Really understood what happened. I didn't talk twice about current Voodoo with Dr. John, and that's all. :-)