TPS51225 3.3V and 5V
Pins – vreg3 vreg5
Check those pins for output. without those voltages on those pins the notebook will not power or charge the battery.
General keywords and problems related are NO POWER.
Pins – EN_3V EN_5V equally important to vreg3 and vreg5. KEYWORDS – LDO Low-dropout Regulator
If there is 3.3v and 5v from TPS51225 and there is no EN voltage then replace TPS51225 and reflash BIOS.