My 2004 neon suddenly stopped running(while I was driving) and now won't start. I can hear the starter and everything inside the car is working where should I start

Something is wrong in your start circuit. From battery to ignition switch, and ending at the starter solenoid. You would have to start checking for where power is lost between the switch and the starter. If you have power to the starter solenoid on the small wire at the starter (can check with a test light while someone holds the key in start), then the starter would need testing.

Check connection battery,could be starter.

yes it is the alarm. you will need to reset it

I assume that is just goes dead and when you try to start it everything turns on and turns over but won't start like it is not getting gas. If this is the case then the first thing I would check is the fuel relay located back by the gas tank. A parts store will help you out with locating this. Very easy to fix by yourself when you know where it is. These relays are notorious for corroding.

A mechanic would check for voltage at the starter, the neutral safety switch, and the key switch when it will not crank.

You have an intermittent problem in your start circuit. I'm sure you also have some choice phrases to describe it, go ahead and vent, we have all encountered frustrating problems.
The reason shops can't find it is because it isn't happening when they look at it. Anytime a hot engine is shut down a lot of heat is generated in the engine compartment. So opening the hood helps yours cool down faster and start quicker, a good clue. I believe if you had it at a shop when it won't start, they might find it. First thing they would check, or you could if you have a voltmeter or testlight, is if power is reaching the starter from the ignition switch in cranking position. This is the small wire on the starter solenoid. If there is power there when the engine won't crank, quickly reconnect the wire and verify if car will crank or not. If still nothing, it may be a poor ground wire(battery or engine ground) or a poor battery cable, since you know the starter is good. If you reconnect the wire and it suddenly starts working, it may have just been a loose connection on the wire you pulled off. If it keeps happening when your hot engine is shut off, test may have been invalid-intermittent problem has only now come back, so run the same test again.
If you or a tech ever find no power on the solenoid wire in START, that narrows it down to the path from the ignition switch to the starter solenoid. One needs to trace that path, looking for where the power is stopped. A couple of possibilities are the starter relay and the neutral safety switch. You could try a new inexpensive starter relay and see if that solves it. If not, then further testing needs to be done before giving up or throwing some expensive parts in and hoping. But you have narrowed it down which helps. It could be some arcane problem like a ground source for the starter relay, or who knows what. Have the start circuit checked, and it would be easier if the no crank condition is present when checked. Good luck.

hi Odd.
see if this link helps you out.
Why car won start troubleshooting tips

STARTER SOLENOID FAULTY IF YOU BY PASS IT AND CRANKED CAR.THE STARTER SOLENOID OPEN.THE THEFT SECURITY SYSTEM WILL CAUSE SAME PROBLEM.SCAN CAR FOR THEFT SECURITY MODE BEFORE BUYING NEW STARTER PARTS.

my horn did the same thing - we disconnected the horn (which in an 02' is behind the passenger side headlight) I'm sure it's wearing out and we need to replace it.