One problem related to wiring has been reported for the 1998 Dodge RAM. The most recently reported issues are listed below.
The truck we purchased had a towing package as ordered. What they didn't tell us is that the wiring isn't heavy enough for prolonged use. We tow a 50' trailer with our truck for a living. Right after we purchased it we had to replace the trailer relay switch and then many, many fuses. Then we started smelling hot wiring. The headlight switch was hot and lights inside started going light to dark. Then they went out completely. We lost all truck lights and trailer lights going down the highway at 55 miles an hour. We took it into the dealership and they had to replace the main truck wiring harness and the light switch and the short pigtail between them. Dodge knows this has been a common problem with Rams used for towing. The consumer was experiencing wiring problem ( not heavy enough wires) with all three vehicles owned.