Sony Vaio Laptop Battery won't work..

Registration date
Sunday October 6, 2013
Last seen
October 6, 2013

My Sony Vaio Laptop; Product name; VPCEH1S0E.
Won't work with the battery in, I got it sorted for about 2 weeks (No idea what I done but I sorted it somehow lol I have no idea what the problem is, as it was working with the battery in for around 2 weeks then just cut out, even though it showed the battery was full, was able to use it without the power cable in, I am abit baffled tbf if anybody has a idea or know's what's up with this laptop, the only thing I can think of is that the battery's on it's way out? Please help I'm going crazy!! lol :)

Thank you in advance!! :)