my phone gets turned on and off

1. there is a power button on the back of the phone. when I press the button, sometimes the screen gets turned on and off right away. it happened 4 consecutive times yesterday. I talked to Verizon before about this, but the agent said I had a problem with my software.

2. Since yesterday, my screen gets turned on sometimes. I turn off my phone, later when I look at my phone, the screen is on. It happened several times today. I can't take it anymore.

I love this phone. but I don't know what to do. I bought this phone 9/14. do you think I could get it fixed?

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