Why is my iphone not working?

I have a 64gb iphone 5 and it is not working for some reason. It will not turn on at all. I have tried plugging it in and i'm positive it did not come in contact with water. My phone is jailbrokem by the way and i do have 10+ tweaks on it. And the phone is close to a year old. I bought it on the day of release.

Secondly, if it is completely broken and i do take it back to get it replaced will they be able to tell that it was jailbroken? Even if it is completely broken?

P.S.
I'm using AT&T

Hold down the top power button then after 2 seconds press the home button and wait it might take a minute

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