Mysterious Bug Bites during the night?

I've just started out at college, and every night, I seem to be getting bug bites on my back and other places like my arms and neck and even face. I usually can't tell until later, and they are really itchy. The bug bites are like mosquito bites and kind of large... maybe like a dime or so. What could it be?
I just started college, and my sheets are new... i started to get them the first day. it also may be paranoia, but I feel like bugs are around me in bed sometimes, but I can't see them...
 
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