How you doing Efe long time no speak

The power pack is producing power and the green light on the charger is illuminated. I can't remember if the laptop itself has a lamp that’s illuminated when the charger is turned on ... do you know? I have noticed the socket on the rear that the charger plugs into is slightly loose but I'm pretty sure it's always been like that.

I'm wondering if the laptop is not getting the charge (faulty socket?) and simply wont turn on because the battery is flat, I prob need to try a charged battery in it to see but I only have the one that’s in the computer.