HELP! iPhone 5s won't charge properly.

This is so annoying. I haven't even had my phone for half a year! Just two months.

Basically, my phone won't charge properly. In zero battery, when I plug it in it's wall charger, it won't charge at all. Well, it will charge but it won't actually turn on. It would just be on that black screen with a red battery but it IS actually charging. When I plug it in on my laptop, it takes a about an hour to start up. A while ago, I had it on one percent so I immediately plugged it in the wall charger so that it won't shut down but then it won't move from 1%. It has the lightning symbol but it won't bulge. At all. But in the past, when it's on 50% it'd still charge. What should I do?

It's so frustrating. I expected better from Apple. Actually, you know, I expected the best from Apple since...you know...it's APPLE.