Laptops are designed to be small. This makes them a royal pain to work with when you need to do some sort of electronics type repair, like re-soldering a connector or that sort of thing. If taking the battery out and re-installing it doesn’t work, chances are you will need to do some sort of soldering type repair, and this is not something that I would recommend doing for someone with little to no electronic experience.
If you are really lucky, you may have a bent contact in the battery compartment, or perhaps the protective circuit inside the battery broke and you can fix this just by buying a new battery. You absolutely do not want to take the battery apart to repair this circuit if it is what broke. Lithium ion batteries tend to do nasty things like overheat and explode if their protective circuit isn’t 100 percent right.
I’m generally all for people learning to do things themselves, but if re-installing and/or replacing the battery doesn’t work, the chances of someone with little to no electronics experience successfully repairing this laptop is fairly small, IMHO.