How much blood is there? I assume it is not bleeding all the time because you mention waking up with a bloody ear, so that is good if it is the case. Piercing through scar tissue is more difficult for the body to begin to heal, therefore when you sleep at night and knock or lay on the piercings, you are re-opening a fresh wound which is finding it difficult to close itself. You may be someone who bleeds a lot anyway, we are all different in that respect, and as you have only had them a couple of days I would not be overly worried if they are only bleeding slightly during your sleep.
Make sure to clean them well with warm salt water 2-3 times a day to promote healing and prevent infection, and if they are only bleeding at night, that should settle down in a few days time. If they begin to bleed more often than that or are bleeding quite heavily, I would go back to your piercer and ask them to take a look at them and advise you on what to do.