I'm fairly confident they tell you to call the doctor if there is any blood coming from your nipples (especially if there isn't a noticeable cut). Hope it's nothing, but call to be safe.
Is it bleeding out of your mammary ducts? I wasn't sure from the way you described it? I had this happen in my early 20's and it was an intraductal pappiloma. You should definitely follow up with your doctor. Some other signed were finding blood in my bra and breast pain (especially when bumped).
Re: Should the small bumps around my nipple have blood come out when I squeeze them?