Your laptop is assembled at the base compal_la-5251p.
Check if the voltage +3VLP, +3VLP, +3VALWP, +5VALWP.
Are the signals generated VCC1_PWRGD, ADP_EN?
Replace PQ101, PQ102. Check if there is a short circuit on the line P4, B+, BATT, KBC_PWR_ON.
download compal_la-5251p_r0.9_schematics :
compal_la-5251p_r0.9_schematics.pdf