Dell Vostro 1400 charging issues

Hello community,

1. My 5 year old Dell Vostro was working like a champ until 2 weeks back. Now, the laptop shuts down unexpectedly even thought batter power is full. Ran some diagnostics and found no issues with battery.

2. While this continued, the laptop stopped charging. When I insert the adapter (Genuine Dell), the light on the adapter turns off. From searching the internet, I am hearing that there could be a short circuit.

Did anybody else face the issue? If so, could you help me on directions to fix this? Or, is this the sad end of my Vostro 1400?