You shouldn't use the same type of connectors, as you can see, they didn't last. You should use connectors with crimp style pins , instead of "punched". For example , this marco kit uses exactly that , crimp style connections.

https://www.marcospecialties.com/pinball-parts/CKWMS-A-12742

https://www.marcospecialties.com/pinball-parts/CF15611 A typical 11 pin connector
https://www.marcospecialties.com/pinball-parts/CT156S The crimp pins used
https://www.marcospecialties.com/pinball-parts/77-CTW Low quality crimper

Of course if your machine has now LEDs all over , the current draw will be significantly lower , and newer , higher quality connectors won't ever burn again.

I should have added , you are better off replacing the pin header as well, because it has oxidized from those burned connectors.

At least use a small metal brush or something abrasive to scrub the oxidized pins. Also , pay attention to connectors J101 and J102 (far right of driver board), as this is the input voltage and more often than not , these pins need attention as well (most common issue is random resets).