Is this a normal mole? (Photos)

As a general rule any change in a mole or bleeding should warrant a thorough examination and biopsy. I suggest you see a dermatologist as soon as possible.

The only way to know for sure what it is is to go to a plastic surgeon or dermatologist for a biopsy, send it for pathology (look at it under a microscope).  I would recommend you do this in the near future. 

Best of luck

Dr Rodman

From the photos, it is impossible to give you a clear answer.  I would strongly suggest that you see a dermatologist as soon as you can.    The way this looks, it needs at least a biopsy, if not a full removal, but that decision would be made by the doctor who looks at this.