No Power Sony Vaio PCG-394L

Try this remove the battery the ac cord and the memory from the pc,(two screws on the backside where the letter m ison the botom).Hold the power button down for twenty seconds.This usually clears the settings.Put the nenory back in the battery back and try turning it on.
Good Luck

When you wriggle the plug in the power socket on the laptop and the charge LED flashes and in the right position it charges, this indicates that the power socket is faulty or there is a dry solder joint on the motherboard where this power socket is attached.
To get at the power socket will require dismantling the laptop completely.
If you are confident, can dismantle, reassemble a laptop and use a temperture controlled solder iron then try and fix it. If not a computer repair shop can do the repair, I suggest you get a quote first.