Will not start tried everything

It could be the solenoid or the start circuit. To check, pull off the wire at the starter solenoid and use a test light or voltmeter to check for power on that wire when the key is held in crank position. It should have power- if it does, likely the solenoid is bad. If no power on the solenoid start wire, then problem is in the start circuit between the ignition switch and the solenoid-check the neutral safety switch, check for power out of ignition switch on the start wire, with key held in crank position, check starter relay for proper operation. All these items are in the starting circuit.

Then it is somewhere between the ignition switch and the starter and the battery,start with the battery . Is it charged? is it a good battery? clean all the batt. cables and batt. post, then inspect as you clean make sure everything is tight after you clean. Then after all is hooked back up try to start the car if no start still move on to the starter next and so on. PLEASE CHECK ALL THE FUSES FIRST ALWAYS LOOK FOR THE SIMPLE THINGS FIRST!

This might noy be of much help, buy I would try a remote starter switch hooked up to the starter,with the ignition switch in the run position..then push the remote start switch.
This would give you an idea if the ignition switch is a part of the problem

has it got an immobiliser / if so there is a fault there. If not an ignition switch itself.

try a new ignition switch.

Help please....I have Mazda Protege 2002...the car was driving good..and suddenly the car didn't start at all i changed the starter the battery is fine because when i start the car the lights comes on and the radio works. I don't know what is the problem is...when i start the car it makes noise of tik tik. Please help me????

You will have to check, at the starter, for power to the SMALL wire on the starter solenoid (which is on the starter) when turning the ignition switch to start.
If there is power to this wire ( usually purple ) and power at the LARGE cable ( from the battery ) at the starter end.....you need a starter.

If you do not have power at the small wire at the solenoid with the key in start position and battery power is OK.....check the safety neutral switch.Moving the shifter around a little can sometimes allow the car to start if the neutral switch is worn.

A new battery does not always mean a fully charged battery.
Try a boost from another car before testing the starter for power.

The battery cables need to be clean and tight....and check the ground to the engine as well.

Everything else may work OK with bad connections,they don't use the power the starter needs to turn the engine over.

If engine cranks, replace Main Relay. If only starter cranks, replace ICM.

Yes, it sounds like your solenoid is bad and staying engaged against the flywheel, you could do an amperage draw and a voltage drop test to find out for sure, but you will need an DVOM and a amp clamp. Or you could take it into an auto parts store and they will test it for free. Hope this helps.

check powers out of the ignition switch big in big out usually first place to start