2002 SXT 3.5L Intermittent No start

I have received the wiring diagram from peva, the python security system has been uninstalled - boy was that a mess. Whoever installed it did a pretty rough job. There were melted fuses under the dash found off of the aftermarket fuse block they used, all the wires tapped into the bcm and ignition harness under the steering wheel were complete hack jobs.

However, unfortunately, this 3 year intermittent starting issue still doesn't seem to be fixed. Now to be fair, I'm writing this before looking at the wire diagram peva sent me, I was impatient and just went for taking it out, all tapped into wires have been repaired with electrical tape. The only wire that was cut into two halves from what I can tell in the ignition harness under the wheel and spliced into a fuse block - which then was spliced into the bigger fuse block they added (the one with melted fuse) was a thicker gauge yellow wire. I have spliced this wire back together and deleted the python security module, the included shock absorber, the fuse blocks and repaired all hacked into wires with electrical tape.

Yet the issue still remains. Go to start the car - starter solenoid just clicks. This car has a good battery, good starter, good alternator, the jump post is also temporarily deleted as a suspect. All fuses have been checked and are good. I truly am getting to my wits end with this car. I've fixed everything wrong electrically but I can not figure this specific starting issue out. I thought for sure after seeing the melted fuses alongside this poorly installed aftermarket security system that this was it...

Unless something obvious jumps out at you, you're likely going to have to do logical troubleshooting with multimeter and the FSM writing diagrams - tracing all control signals (including ignition switch, relays, and starter solenoid), power (starting at battery, and thru the three cables joined at the positive jump post), and grounds (from battery and thru neg. jump lost to transmission case and starter body) required to make the starter work to find out where one or more of those items isn't getting thru.

Can you read the wiring diagrams and understand the control signal path, power, and ground? Can you use a multimeter and troubleshooting light?

Consider this: If the solenoid clicks but no crank, it could be a simple matter of the solenoid contacts being worn out. That is a common failure of that starter. There is a solenoid contact replacement kit on Amazon.

The fact that the solenoid is clicking suggests that the control signals are working and power is not getting thru the solenoid contacts.

Thanks Peva, took the valucrap starter (valuecraft) back to AutoZone, upgraded for $38 to the duralast. Installed it, had to recrimp a new connector onto solenoid trigger wire too. Car cranks great. Turns out the starter main power B+ wire was loose causing it to arc and fried the solenoid completely after 6 months of intermittent use. I've heard multiple stories of loose starter cables - whether it was install error on my end or not, I don't care (I didn't have proper tools at the time of starter replacement in 2022)- it's fixed now and the car is returned back to near stock wiring conditions all the way around. Will put car back together tomorrow and really see how nice it starts. Thanks for the help Peva. It truly is appreciated and the factory service manuals I've been trying to get definitely helped me out.