Laptop no video (or video problems), and battery, AC adapter, power jack T shooting.
See response 1:
If there doesn't seem to be anything wrong with those things and your "charging" led indicates things seem to working properly, then the most likely thing is there is some setting that has been set to throttle back the system when the AC adapter is plugged in.
I don't have a working laptop, but if you look in Control Panel - Classic View - Power Options you may find that you can change a setting there to get rid of your problem.
If no setting there helps, try looking in the mboard's bios Setup settings.