Hello and welcome to the forum! Thank you for your question. A mole that is scraped off or picked off usually will bleed. A scab would b normal after that. If you pick at the scab some more, you'll continue to have bleeding. My suggestion is to leave the scab alone which I am sure they are telling you. If it continues to bleed, then you can have it checked out by a dermatologist. Watch and see but most likely, this will be fine. Glad you saw a doctor and see a dermatologist if you continue to have problems with it. https://www.mayoclinic.org/diseases-conditions/melanoma/symptoms-causes/syc-20374884
You don't say how old you are. This is usually a disease of old folks from sun exposure or exposure to pollutants years earlier. Don't even know that it was a mole, since you picked it off -- that's really hard to do by yourself if it was in fact a mole. But the test, and you can look this up in cancer resources, aren't having a mole, it's when a mole you've had for awhile starts to change shape or color or starts to hurt and the like. It's the change that causes the concern, not the mere presence of a mole. But in your case, having picked it off and created a wound, don't know how anyone would truly know if it was in fact a mole or something else you picked off. I would recommend in the future that if you have a growth you're concerned about, keep it and then you can have a doc look at it if it doesn't go away and starts to show the kinds of changes docs are concerned about.