My laptop isn't turning on, capslock blinking.

My laptop already had issues with battery so to use it you have to plug in the charger. But this time when I tried to turn it on, the display is blank/black. And the caplock light is blinking once. Also the charging light and power light is on, but the drive ( I think that is the drive light on the other side, but I'm not sure) light isn't on. Tried numerous times but it isn't turning on. I was wondering if I can recover the data, because it had some IMPORTANT DATA. And I don't want to lose it. Plus, the Capslock blinking chart I found on the internet says it has cpu failure. But I thought maybe the connections might have disconnected or something. What should I do? Giving it to some computer shop isn't a solution since it had alot of pictures as well.