PCB female jack and power supply male melted
My guess is that when you used it over the past month you were using current that was under the maximum specified for that female power jack. The reason why your power supply is fine is because it can handle the power. Unfortunately it seems that the female power jack is probably not rated for 10A or anything slightly below it. If you truly plan to use high current like in 5A or up to 10A you should use some power connectors. For example MOLEX power connectors like shown below. You’d split up your positive pin into 3 wires and negative pin into 3 wires so they share the current.