Did you take the battery out, unplug the power from the back, wait 10 minutes, plug in JUST POWER (no battery) what do you get?
If it fails at this point sounds most likely the power jack in the laptop itself is broken (common problem with people not familiar to being VERY careful with their laptops) and is too costly to replace (motherboard, time to unscrew, unmount, remount, test, etc.) the broken components then to simply by a new laptop.
Given that is now becoming a 5 year old system (3 years MAX warranty on parts) and this issue, your only answer is a new laptop. As for the data on this laptop, unscrew the panel on the bottom, remove the HDD, get a case / USB-connector and use it as a external drive to get to the data (NO you can NOT use ANY of the programs not Windows on it, it will be just like a thumb drive now).