Your Curve should lock as soon as you put it in the case (unless you're using a case not meant for BlackBerry phones).
However, yes, from what I have noticed, when the phone is in stand-by it will ring when you have it in stand-by. Messages are another story. I don't keep my phone in stand-by too much because when I holster my phone, it locks it down anyway, but from what I have noticed, it doesn't come back to life when you get a message (it might make a sound but I honestly don't know.)
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