I have a 2001 Dodge Neon, and it's yelling at me.

SOURCE: 2004 dodge neon fuse problem.

The dome tight is actually a combo fuse/light. If that light is burned out; 1 the locks won't work, and 2 the odometer will flash "FUSE" and 3 the "DOOR" warning light will stay on - try replacing the bulb. If it stays on with all the doors closed, more then likely one of the switches that are built into each of the door latches is not making the correct contact to shut off the dome light/dash light. The correct fix is to replace the defective latch. The other option is to just cut the wires that feel the switch inside the door - then the car will think that door is always closed and the lights will not come on when you open that door.

SOURCE: Need fuse diagram for dodge neon

check fuse 3 in he fuse block under the hood and fuse 15 in the fuse block inside for power

SOURCE: Installed a new radio in a 2001 dodge stratus se dash lights out

Did you try adjusting the dimmer for your dash lights? Did it feel different - like the knob was no longer connected?? If so, try pressing the knob to re-align it up to the threading to properly seat it. Then try turning it all the way to the right, to the brightest setting. Or try turning the other way if there is still no illumination. Make sure you have the key in the ignition and turned on to the same location where your radio, wipers, and all other accessories work (test to make sure they are working before trying the dash lights). And of course, you need to be out of bright sunlight and in an area where you can clearly see when the dash lights come on, even in the event that they come on very, very dim.

So if this all failed, I hate to say it but it means you gotta take apart your dash which usually means numerous other parts that may overlap. Find a good diagram or step-by-step instructions for your particular model. Then it will be a matter of checking the bulb(s) and making sure any of the wires did not become disconnected or damaged...

Good luck. Taking apart your dash to get behind it cant be any more difficult with your Dodge than it was when I had to do it to a Toyota a couple months ago... I had to remove the console between the front seats to remove the auto shifter assembly that overlapped with the bottom section of the dash...
alot of time and effort all for one little bulb replacement.

SOURCE: 2004 dodge neon fuse problem.

yes thats possible, because sometimes like you've explainde some items are on the same fuse, but some items are on the same ground, thus causing something else to appear faulty. so its possible that all of these items are on the same ground and because a fuse or relay for the a/c is faulty, it may cause something else like the dome light and door locks not to work , very crazy with these newer cars.

SOURCE: 95 dodge neon shuts off while driving

After it kills, pull a plug wire and check for spark. If it has spark, check for fuel. I can't remeber where the service port is on the F.I of a Neon but it'll look like a tire air valve cap but a little larger. It''l be on the fuel rail or line somewhere under the hood.

Take the cap off and depress the valve. If fuel doesn't squirt out (not drip), you're losing pressure. Neons were bad about fuel pumps so it MIGHT be this. They run a little over $200 for just the pump. I had a retail unit that kept doing this due to fuel deposits from Ethanol. It kept clogging the "filter" sock in the tank. After it set a while the stuff would sink back to the bottom and the car would start back up.