Since you will be doing the rewiring, the easy way to remember which wire goes where is the hot (black) wire always goes to the brass colored screw, black-brass, both B's. The white (neutral) goes to silver.
Please change it to a GFCI outlet to prevent any further problems. You may not want the expense but the life you save may not be your own.
If you look at the face of an outlet, it has a wide slot and a narrow slot. The wide slot is the neutral side and the small one is hot. You will notice the brass screw is on the narrow slot side.
The circuit tester Maki posted is pretty cheap and is needed if you are going to work on outlets or plug into shore power. Check shore power before plugging the van in.
