If it is unlocked, the there is no way of us knowing whether the problem you are experiencing is due to the unlocking process, or to a normal hardware fault. Unfortunately, by unlocking it, you have voided the warranty and cannot therefore return it to the Apple store for support or replacement. I'm really sorry, but I can't see how we can help you anymore, and this thread is likely to be locked by the mods soon, as I see that they are (over)active this morning, so no more replies will be possible after that. I would try using one of the other iPhone forums where they can discuss unlocked phones, and see if they can help you more.
Good luck with it.