One problem related to fog light switch has been reported for the 2008 Dodge Nitro. The most recently reported issues are listed below.
When attempting to turn on headlights, they flash 2 or 3 times and go off. They will not stay on. It's like the computer or a relay is attempting several times and then gives up. I disconnected the battery for 30 minutes and the problem cleared for a few hours. It came back exactly like before. Another disconnect would not clear the problem again. Also, the horn will now sound when unlocking the doors. This has been an intermittent problem for several years. Press the remote unlock and the alarm horn sounds. Previously it was about once every couple of months but now is several times per day. Sometimes it does it even when unlocking the door manually rather than with the remote. The fog lights are fine but high and low beams are unusable, now. Based on internet research, this is a very common problem among various Dodge vehicles and often requires replacing the tipm for around $1000.