OK. The next thing I'd check is the bulbs' connection in the socket. Make sure each bulb has firm contact with the contacts in the sockets. If possible, reach into the sockets with a small pick and try to bend the contacts up slightly for better contact. Of course, disconnect power first.
You might want to go to an electrical supply and pick up some dielectric grease. It will improve the connections and reduce, if not eliminate, corrosion. Spread it on the bulb base and contacts. This won't solve your problem, but will help down the road.
I've never seen or heard of bulbs going bad & doing what you describe. As for the bright one being bad & dimming the others... that can't happen when the bulbs are wired in parallel. Each bulb is, in essence, in it's own seperate circuit. If one draws excess power, it wont take away from the others, it will just draw more current from the battery feed. If it got too bad, it would just blow the fuse.
Electrical connection problems can be problematic and give wierd symptoms in any setting. When the environment has lots of vibration as well as temperature & humidity changes, anything can happen. Mobile applications are the worst there are.
Say "Hi!" to your dad for me. After 22 years of working communications in the Air Force, I'm now retarded and working on fiber optic equipment. I spend lots of time in telco C. O. s. Good people there.
Bob