Need to wire a dome light to a 1999 jeep wrangler

SOURCE: 1999 Jeep wrangler runs rough

Check the gas, could be water in it or drive the car with a fuel pressure tester connected to it and watch to see if you lose pressure.
Normal pressure while driving is about 30 to 40 psi

SOURCE: 2006 Jeep Rubicon Wrangler Speaker Wiring Diagram

The majority of jeeps fall into this layout ... Click this link and compare your connector .. if it doesn't match .. let me know I will look at another source

SOURCE: Removing doors from Jeep Wrangler - Dome Light Stays On

I have a 97, and my fuse for that is behind the glovebox. Open the box, slide the end of the strap to disconnect it, then remove the box. The fuse is marked. Something like "Dome lt. elim." I think it's located one up from the bottom right. This can actually be done without removing the glove box. For a more permanent fix, quadratec.com has a switch that plugs into the fuse location and mounts under the dash, so you can just flip the switch. Hope this helps.

SOURCE: my jeep wrangler rubicon has a from diff lock

If you indeed purchased a Jeep Rubicon, 2007 or newer, it has a switch on the dash which operates a moderized sway bar disconnect. There is a detailed discritption of it in your owners manual. The performance they are referring to is in axle articulation, not mileage. Enjoy!

SOURCE: i have a 1999 Jeep Wrangler and the heater fan

If you bypass the resistor pack and connect the motor directly to the fused 12v supply then the fan should run at maximum speed. If so, it's the resistor pack that's blown: a very common fault on a huge number of makes and models.