The Alarm showing the same time data usage shows is just a coincidence. You can use the Alarm without a SIM card, it doesn't require data.
Was your Browser on a web page when you weren't using it. Maybe the page it was on refreshes periodically and that's why you see those charges.
What you can do is turn Data Services off before you go to sleep. This will ensure you that no data is being used whilst you sleep.
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The difference between stupidity and genius is that genius has its limits.
When you take things for granted, the things you are granted, get taken.
Even a mosquito doesn't get a pat on the back until it starts to work.
Too many people miss the silver lining because they're expecting gold.
[BES 5.0.3 / GroupWise 2012 HP2]
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