Car won't start makes clicking noise when you turn key

that item is called a relay switch. it toggles on and off depending on which electrical component it is connecting. if it's blown, they are cheap and easy to replace like a fuse, but you'll need to look at the fuse box chart (usually on the underside of the lid) to determine which one and where it's located. You can't look inside the relay to determine if blown, but you can replace them one at a time to test...
Also, if you're experienced in electrical, a paper clip can be used when the relay is out, to connect the circuit that you need. use tools and or gloves when attempting this method.

You need answer some questions first to rule some things out.
Is the starter making a noise when you turn the key or is it just clicking? If the lights light, but the starter makes absolutely no noise, then the power cable to the starter is bad or contacts are corroded. If you hear a click every time you turn the key but that is all, then the starter is bad and needs replace. Once it is removed, most parts stores can test it for you. If you can hear the starter spinning but its going real fast then again the starter is bad. If the starter is working properly (like on a really cold day when it doesn't start right away) but the car still won't start, then the starter is fine and your problem is either in the ignition or the fuel system. You may be able to narrow it down if you can read the codes, otherwise it needs a mechanic and you need to decide what is the car worth to you.

A mechanic would check for voltage at the battery, the starter, the neutral safety switch, and the key switch.

You have a defective battery.

Possibly needs a battery. Have the battery tested by an auto parts store. If battery tests good then problem is most likely the starter.

have the altanator checked out and the starter

It's your starter. Find location of your starter. By the flywheel. Then. Bang on it . Your car will start. You still need to replace the starter.

will it start with a jump ? if it does replace the battery and have the charging system tested, if it will not start with a jump then most likely you will need to replace the starter.

I would be re-checking the battery. Make sure that when you have it tested they do a "load test". Sometimes a battery can seem good, but be bad when there is a large load placed on it. This test will reveal if that is the case. It could also be a starter problem, and it is possible (but unlikely) that it is a wiring problem.

I hope that you have disconnected the battery fire could happen relay click's but will stick at drain could be the fuel pump you hear with the continuse click you might have a shorted starter.I think thats the first place to start.A bad ignition switch will cause this to happen sometimes?