This exact problem won't cause a fuse to blow. Fuses blow when more electricity is being pulled through the fuse than it is designed to allow. Since I doubt you added any electrical accessories to the dome light circuit, this is almost certainly being caused by a short in that circuit. A short is where the positive power is making a connection to a ground directly. The only way to find those is to check all your positive power connections and verify they're not being allowed to touch a ground. If after dping that, you still can't find it, it's possible that the positive power wire has had its insulation damaged somewhere which is exposing the wire to a ground connection. Good luck with your search.
Sounds like maybe a broken fuse or fuses. It's hard to say. That's definitely the first place I would look, though. Then, if the fuses are fine, the only thing to do is trace the wires and look for a break somewhere. Of course, check the bulbs for the lights.
