First things first...don't panic! Not all uneven moles are signs of skin cancer. The best thing you can do is book an appointment with your GP and get a referral to a dermatologist.
Last year one of my moles kept bleeding and looked weird. I freaked myself out too. But I saw a dermatologist and he removed it, tested it, and found that there was nothing wrong. Just one of those things. I don't know if your dermatologist will do this, but mine got me to strip down and looked at every single mole I have with a special light. I got the all clear. Definitely stopped me panicking.
(but I tell you what, the "anesthetic" they use before cutting it out hurts so damn much)