Regarding the failed mainboard power connector....... have you carried out continuity checks on the PCB tracks and connector pins ? You could have a burn up on the PCB that has actually destroyed the connectivity between the PCB power plane and the connector plated through hole. I have seen this on high current power feeds and it can be a challenge to repair. The charring, if that is what it is, must be removed as it is conductive
You need to carefully remove the power socket and inspect the condition of the plated through holes. Test continuity, then determine whether a new socket will actually solve your problem.
Do not fear the PCB material. Carbonisation is very bad news and should be removed using either a scalpel (not ideal) or a 'Dremel' + small ball mill (preferred). Once
all carbonised material is removed, the PCB may be inspected for damage properly and corrective action taken. When the inspection and and any repair work is completed, the 'crater' in the PCB may be filled with a non conductive epoxy and if you really wish to be professional, surface polished and then sealed with a suitable coloured PCB lacquer.