... That looks worthy of a check by your dermatologist. If you don't have a regular dermatologist, I suggest you make an appointment with your primary care doctor and let him/her refer you to one.
One thing I noted in your description was that you mentioned the mole is two colors. More than one color can be a sign of melanoma, but it is certainly not the sole determining factor.
I am including the link to an article that describes the characteristics of melanoma. The ABCDEs help break down what to look for when performing a self-examination.