Thank you for your question.
How long ago is recent?
Following scratching the mole I would expect it to look like you have shown. This will take time to settle down. Imagine if you cut yourself anywhere normally - the wound will take about a week to scab up and then as the scab comes off...
Some moles get inflamed and that what yours seems to have going on. Infection is less likely but you should show your doctor.
Steroid ointment works great for it.
Yes, this can be used to remove moles successfully. I recommend getting a formal evaluation with a cosmetic dermatologist. Moles can be removed with laser, radiowave or shave. See an expert. Best, Dr. Emer