I replaced the started solenoid on a 87 jeep wrangler, still cant start jeep with the key, also no headlights.

could be the starter solinoid not working.

Sounds like you're starting at the expensive end and working backwards! First, check your battery, make sure it has a good charge. Second step is the starter solenoid. Some designs have external solenoids, some are internal. Third is the starter itself. Once you are sure all that stuff is good, THEN it's time to start looking for the neutral safety switch.

The check engine light is meaningless when the engine is not running.

I had the exact same issue many years ago on my 87 Wrangler. Sounds like you have blown the Fuseible Link.This is the first 6" to 10" of the smaller wire at the positive lead from the battery. If you draw to much current through this wire it will "melt" the wire inside the plastic coating just as a fuse would melt the metal inside of the caseing. You can get a replacement section at your local parts house.Do not by-pass this section as if you have a short in the wireing it could cause a fire and or melt your electrical system.

i just a 87 jeep mine was doing the same as soon as the key hit the on position, it sometimes starts i replaced the ing module. this took care of mine

The solenoid causes the starter to engage when the ignition switch is turned to start. If the car starts, the solenoid is probably okay.

Sounds more like a fuel delivery problem.

the starter solenoid is on top of the starter, the starter is on the bottom rear of engine, the problem u are discribing is a defective starter solenoid, with this type of starter I doubt that tapping on it will make the truck start, u will need to replace the starter solenoid.

drain the tank replace with new fuel as fuel can breakdown

The Starter relay is bad.

Find the neutral sefety switch and 99% chance, you have found the problem. generally on stickshift cars, the switch is above the clutch pedal, not on the transmission.

replace the ignion mod. on left front finder at the bottom under the washer bottle next to the fire wall.