IPhone 5 malfunctions

I bought my iphone 5 at Verizon in October or November and I have several problems: it will not charge unless its in a perfect position laying down, this just started today and I spent $30 on a charger(lucky me, not); the sleep button chooses when it wants to work; and the rear-facing camera has pictures with purple dots all over, perhaps a lens software issue?

What can I do about all of this? I do not have insurance on my phone, the charging problem is unbearable. The other two problems I've had since about January. Will Verizon take care of it? Or should I call Apple?

Apple will replace with a referbished model.
just tell them your home button doesn't always work