When I was getting changed yesterday I felt a little dry bump on my side/back, like a scab. I gently ran a nail over it and felt it come off. Then I thought, shit, don't I have a mole there?! Went to the best-lit mirror I have, which is on the cabinet over the bathroom sink, and examined it. It was bleeding a tiny bit. Seeing the location, I'm 99% certain it was a mole that I've scratched right off. I then saw that the dark brown scab/mole was caught under my fingernail
, but even as I looked it fell out and down the plughole 
I know that scratching a mole can't make it become cancerous, but I'm worried by the new scabby nature of it that caused me to pick at it. This has never happened with any of my (many, many) moles. Is it worth seeing the GP, or will they find me ridiculous for showing them a tiny new scab on my side with no evidence that it was ever a mole, and nothing to examine for potential cancer cells? When the little wound heals, is there a chance there be a bit of the mole left and I could show them that?